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Finding the Third Proportional to 204,484 and 309,894

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Solution

The third proportional to 204,484 and 309,894 is: 469,642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,484 : 309,894 = 309,894 : x
  2. Step 2: Convert to fraction form
    204,484/309,894 = 309,894/x
  3. Step 3: Cross multiply
    204,484x = 309,894 × 309,894
  4. Step 4: Simplify right side
    204,484x = 96,034,291,236
  5. Step 5: Solve for x
    x = 96,034,291,236/204,484
  6. Step 6: Final answer
    x = 469,642.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.