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Finding the Third Proportional to 157,683 and 244,815

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Solution

The third proportional to 157,683 and 244,815 is: 380,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,683 : 244,815 = 244,815 : x
  2. Step 2: Convert to fraction form
    157,683/244,815 = 244,815/x
  3. Step 3: Cross multiply
    157,683x = 244,815 × 244,815
  4. Step 4: Simplify right side
    157,683x = 59,934,384,225
  5. Step 5: Solve for x
    x = 59,934,384,225/157,683
  6. Step 6: Final answer
    x = 380,094.14

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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.