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Finding the Third Proportional to 137,374 and 289,712

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Solution

The third proportional to 137,374 and 289,712 is: 610,982.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,374 : 289,712 = 289,712 : x
  2. Step 2: Convert to fraction form
    137,374/289,712 = 289,712/x
  3. Step 3: Cross multiply
    137,374x = 289,712 × 289,712
  4. Step 4: Simplify right side
    137,374x = 83,933,042,944
  5. Step 5: Solve for x
    x = 83,933,042,944/137,374
  6. Step 6: Final answer
    x = 610,982.01

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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.