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Finding the Third Proportional to 160,932 and 243,468

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Solution

The third proportional to 160,932 and 243,468 is: 368,333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,932 : 243,468 = 243,468 : x
  2. Step 2: Convert to fraction form
    160,932/243,468 = 243,468/x
  3. Step 3: Cross multiply
    160,932x = 243,468 × 243,468
  4. Step 4: Simplify right side
    160,932x = 59,276,667,024
  5. Step 5: Solve for x
    x = 59,276,667,024/160,932
  6. Step 6: Final answer
    x = 368,333.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.