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Finding the Third Proportional to 142,661.25 and 307,397.25

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Solution

The third proportional to 142,661.25 and 307,397.25 is: 662,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,661.25 : 307,397.25 = 307,397.25 : x
  2. Step 2: Convert to fraction form
    142,661.25/307,397.25 = 307,397.25/x
  3. Step 3: Cross multiply
    142,661.25x = 307,397.25 × 307,397.25
  4. Step 4: Simplify right side
    142,661.25x = 94,493,069,307.56
  5. Step 5: Solve for x
    x = 94,493,069,307.56/142,661.25
  6. Step 6: Final answer
    x = 662,359.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.