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Finding the Third Proportional to 194,102 and 411,532

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Solution

The third proportional to 194,102 and 411,532 is: 872,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,102 : 411,532 = 411,532 : x
  2. Step 2: Convert to fraction form
    194,102/411,532 = 411,532/x
  3. Step 3: Cross multiply
    194,102x = 411,532 × 411,532
  4. Step 4: Simplify right side
    194,102x = 169,358,587,024
  5. Step 5: Solve for x
    x = 169,358,587,024/194,102
  6. Step 6: Final answer
    x = 872,523.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.