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Finding the Third Proportional to 199,534 and 293,466

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Solution

The third proportional to 199,534 and 293,466 is: 431,617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,534 : 293,466 = 293,466 : x
  2. Step 2: Convert to fraction form
    199,534/293,466 = 293,466/x
  3. Step 3: Cross multiply
    199,534x = 293,466 × 293,466
  4. Step 4: Simplify right side
    199,534x = 86,122,293,156
  5. Step 5: Solve for x
    x = 86,122,293,156/199,534
  6. Step 6: Final answer
    x = 431,617.13

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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.