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Finding the Third Proportional to 137,672 and 282,755

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Solution

The third proportional to 137,672 and 282,755 is: 580,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,672 : 282,755 = 282,755 : x
  2. Step 2: Convert to fraction form
    137,672/282,755 = 282,755/x
  3. Step 3: Cross multiply
    137,672x = 282,755 × 282,755
  4. Step 4: Simplify right side
    137,672x = 79,950,390,025
  5. Step 5: Solve for x
    x = 79,950,390,025/137,672
  6. Step 6: Final answer
    x = 580,730.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.