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Finding the Third Proportional to 160,542 and 254,421

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Solution

The third proportional to 160,542 and 254,421 is: 403,196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,542 : 254,421 = 254,421 : x
  2. Step 2: Convert to fraction form
    160,542/254,421 = 254,421/x
  3. Step 3: Cross multiply
    160,542x = 254,421 × 254,421
  4. Step 4: Simplify right side
    160,542x = 64,730,045,241
  5. Step 5: Solve for x
    x = 64,730,045,241/160,542
  6. Step 6: Final answer
    x = 403,196.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.