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Finding the Third Proportional to 117,688 and 277,592

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Solution

The third proportional to 117,688 and 277,592 is: 654,759.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,688 : 277,592 = 277,592 : x
  2. Step 2: Convert to fraction form
    117,688/277,592 = 277,592/x
  3. Step 3: Cross multiply
    117,688x = 277,592 × 277,592
  4. Step 4: Simplify right side
    117,688x = 77,057,318,464
  5. Step 5: Solve for x
    x = 77,057,318,464/117,688
  6. Step 6: Final answer
    x = 654,759.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.