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Finding the Third Proportional to 116,358 and 176,898

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Solution

The third proportional to 116,358 and 176,898 is: 268,936.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,358 : 176,898 = 176,898 : x
  2. Step 2: Convert to fraction form
    116,358/176,898 = 176,898/x
  3. Step 3: Cross multiply
    116,358x = 176,898 × 176,898
  4. Step 4: Simplify right side
    116,358x = 31,292,902,404
  5. Step 5: Solve for x
    x = 31,292,902,404/116,358
  6. Step 6: Final answer
    x = 268,936.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.