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Finding the Third Proportional to 142,435.50 and 307,713

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Solution

The third proportional to 142,435.50 and 307,713 is: 664,773.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,435.50 : 307,713 = 307,713 : x
  2. Step 2: Convert to fraction form
    142,435.50/307,713 = 307,713/x
  3. Step 3: Cross multiply
    142,435.50x = 307,713 × 307,713
  4. Step 4: Simplify right side
    142,435.50x = 94,687,290,369
  5. Step 5: Solve for x
    x = 94,687,290,369/142,435.50
  6. Step 6: Final answer
    x = 664,773.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.