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Finding the Third Proportional to 142,651.13 and 301,215.38

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Solution

The third proportional to 142,651.13 and 301,215.38 is: 636,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,651.13 : 301,215.38 = 301,215.38 : x
  2. Step 2: Convert to fraction form
    142,651.13/301,215.38 = 301,215.38/x
  3. Step 3: Cross multiply
    142,651.13x = 301,215.38 × 301,215.38
  4. Step 4: Simplify right side
    142,651.13x = 90,730,702,136.39
  5. Step 5: Solve for x
    x = 90,730,702,136.39/142,651.13
  6. Step 6: Final answer
    x = 636,032.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.