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Finding the Third Proportional to 174,300.38 and 369,529.13

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Solution

The third proportional to 174,300.38 and 369,529.13 is: 783,427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,300.38 : 369,529.13 = 369,529.13 : x
  2. Step 2: Convert to fraction form
    174,300.38/369,529.13 = 369,529.13/x
  3. Step 3: Cross multiply
    174,300.38x = 369,529.13 × 369,529.13
  4. Step 4: Simplify right side
    174,300.38x = 136,551,774,223.27
  5. Step 5: Solve for x
    x = 136,551,774,223.27/174,300.38
  6. Step 6: Final answer
    x = 783,427.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.