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Finding the Third Proportional to 204,484 and 314,182

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Solution

The third proportional to 204,484 and 314,182 is: 482,728.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,484 : 314,182 = 314,182 : x
  2. Step 2: Convert to fraction form
    204,484/314,182 = 314,182/x
  3. Step 3: Cross multiply
    204,484x = 314,182 × 314,182
  4. Step 4: Simplify right side
    204,484x = 98,710,329,124
  5. Step 5: Solve for x
    x = 98,710,329,124/204,484
  6. Step 6: Final answer
    x = 482,728.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.