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Finding the Third Proportional to 162,006.75 and 353,494.13

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Solution

The third proportional to 162,006.75 and 353,494.13 is: 771,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,006.75 : 353,494.13 = 353,494.13 : x
  2. Step 2: Convert to fraction form
    162,006.75/353,494.13 = 353,494.13/x
  3. Step 3: Cross multiply
    162,006.75x = 353,494.13 × 353,494.13
  4. Step 4: Simplify right side
    162,006.75x = 124,958,096,409.52
  5. Step 5: Solve for x
    x = 124,958,096,409.52/162,006.75
  6. Step 6: Final answer
    x = 771,314.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.