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Finding the Third Proportional to 142,438 and 307,718

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Solution

The third proportional to 142,438 and 307,718 is: 664,783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,438 : 307,718 = 307,718 : x
  2. Step 2: Convert to fraction form
    142,438/307,718 = 307,718/x
  3. Step 3: Cross multiply
    142,438x = 307,718 × 307,718
  4. Step 4: Simplify right side
    142,438x = 94,690,367,524
  5. Step 5: Solve for x
    x = 94,690,367,524/142,438
  6. Step 6: Final answer
    x = 664,783.05

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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.