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Finding the Third Proportional to 204,202 and 306,499

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Solution

The third proportional to 204,202 and 306,499 is: 460,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,202 : 306,499 = 306,499 : x
  2. Step 2: Convert to fraction form
    204,202/306,499 = 306,499/x
  3. Step 3: Cross multiply
    204,202x = 306,499 × 306,499
  4. Step 4: Simplify right side
    204,202x = 93,941,637,001
  5. Step 5: Solve for x
    x = 93,941,637,001/204,202
  6. Step 6: Final answer
    x = 460,042.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.