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Finding the Third Proportional to 169,239.38 and 360,409.50

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Solution

The third proportional to 169,239.38 and 360,409.50 is: 767,522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,239.38 : 360,409.50 = 360,409.50 : x
  2. Step 2: Convert to fraction form
    169,239.38/360,409.50 = 360,409.50/x
  3. Step 3: Cross multiply
    169,239.38x = 360,409.50 × 360,409.50
  4. Step 4: Simplify right side
    169,239.38x = 129,895,007,690.25
  5. Step 5: Solve for x
    x = 129,895,007,690.25/169,239.38
  6. Step 6: Final answer
    x = 767,522.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.