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Finding the Third Proportional to 156,323 and 241,957

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Solution

The third proportional to 156,323 and 241,957 is: 374,501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,323 : 241,957 = 241,957 : x
  2. Step 2: Convert to fraction form
    156,323/241,957 = 241,957/x
  3. Step 3: Cross multiply
    156,323x = 241,957 × 241,957
  4. Step 4: Simplify right side
    156,323x = 58,543,189,849
  5. Step 5: Solve for x
    x = 58,543,189,849/156,323
  6. Step 6: Final answer
    x = 374,501.45

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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.