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Finding the Third Proportional to 146,777 and 243,737

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Solution

The third proportional to 146,777 and 243,737 is: 404,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,777 : 243,737 = 243,737 : x
  2. Step 2: Convert to fraction form
    146,777/243,737 = 243,737/x
  3. Step 3: Cross multiply
    146,777x = 243,737 × 243,737
  4. Step 4: Simplify right side
    146,777x = 59,407,725,169
  5. Step 5: Solve for x
    x = 59,407,725,169/146,777
  6. Step 6: Final answer
    x = 404,748.19

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.