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Finding the Third Proportional to 243,327 and 325,486

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Solution

The third proportional to 243,327 and 325,486 is: 435,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,327 : 325,486 = 325,486 : x
  2. Step 2: Convert to fraction form
    243,327/325,486 = 325,486/x
  3. Step 3: Cross multiply
    243,327x = 325,486 × 325,486
  4. Step 4: Simplify right side
    243,327x = 105,941,136,196
  5. Step 5: Solve for x
    x = 105,941,136,196/243,327
  6. Step 6: Final answer
    x = 435,385.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.