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Finding the Third Proportional to 199,532 and 293,463

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Solution

The third proportional to 199,532 and 293,463 is: 431,612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,532 : 293,463 = 293,463 : x
  2. Step 2: Convert to fraction form
    199,532/293,463 = 293,463/x
  3. Step 3: Cross multiply
    199,532x = 293,463 × 293,463
  4. Step 4: Simplify right side
    199,532x = 86,120,532,369
  5. Step 5: Solve for x
    x = 86,120,532,369/199,532
  6. Step 6: Final answer
    x = 431,612.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.