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Finding the Third Proportional to 157,693 and 244,844

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Solution

The third proportional to 157,693 and 244,844 is: 380,160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,693 : 244,844 = 244,844 : x
  2. Step 2: Convert to fraction form
    157,693/244,844 = 244,844/x
  3. Step 3: Cross multiply
    157,693x = 244,844 × 244,844
  4. Step 4: Simplify right side
    157,693x = 59,948,584,336
  5. Step 5: Solve for x
    x = 59,948,584,336/157,693
  6. Step 6: Final answer
    x = 380,160.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.