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Finding the Third Proportional to 137,052 and 298,940

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Solution

The third proportional to 137,052 and 298,940 is: 652,052.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,052 : 298,940 = 298,940 : x
  2. Step 2: Convert to fraction form
    137,052/298,940 = 298,940/x
  3. Step 3: Cross multiply
    137,052x = 298,940 × 298,940
  4. Step 4: Simplify right side
    137,052x = 89,365,123,600
  5. Step 5: Solve for x
    x = 89,365,123,600/137,052
  6. Step 6: Final answer
    x = 652,052.68

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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.