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Finding the Third Proportional to 137,029 and 298,893

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Solution

The third proportional to 137,029 and 298,893 is: 651,957.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,029 : 298,893 = 298,893 : x
  2. Step 2: Convert to fraction form
    137,029/298,893 = 298,893/x
  3. Step 3: Cross multiply
    137,029x = 298,893 × 298,893
  4. Step 4: Simplify right side
    137,029x = 89,337,025,449
  5. Step 5: Solve for x
    x = 89,337,025,449/137,029
  6. Step 6: Final answer
    x = 651,957.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.