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Finding the Third Proportional to 157,064 and 243,468

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Solution

The third proportional to 157,064 and 243,468 is: 377,404.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,064 : 243,468 = 243,468 : x
  2. Step 2: Convert to fraction form
    157,064/243,468 = 243,468/x
  3. Step 3: Cross multiply
    157,064x = 243,468 × 243,468
  4. Step 4: Simplify right side
    157,064x = 59,276,667,024
  5. Step 5: Solve for x
    x = 59,276,667,024/157,064
  6. Step 6: Final answer
    x = 377,404.54

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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.