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Finding the Third Proportional to 91,532 and 200,560

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Solution

The third proportional to 91,532 and 200,560 is: 439,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,532 : 200,560 = 200,560 : x
  2. Step 2: Convert to fraction form
    91,532/200,560 = 200,560/x
  3. Step 3: Cross multiply
    91,532x = 200,560 × 200,560
  4. Step 4: Simplify right side
    91,532x = 40,224,313,600
  5. Step 5: Solve for x
    x = 40,224,313,600/91,532
  6. Step 6: Final answer
    x = 439,456.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.