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Finding the Third Proportional to 191,524 and 411,272

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Solution

The third proportional to 191,524 and 411,272 is: 883,151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,524 : 411,272 = 411,272 : x
  2. Step 2: Convert to fraction form
    191,524/411,272 = 411,272/x
  3. Step 3: Cross multiply
    191,524x = 411,272 × 411,272
  4. Step 4: Simplify right side
    191,524x = 169,144,657,984
  5. Step 5: Solve for x
    x = 169,144,657,984/191,524
  6. Step 6: Final answer
    x = 883,151.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.