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Finding the Third Proportional to 204,080 and 432,862

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Solution

The third proportional to 204,080 and 432,862 is: 918,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,080 : 432,862 = 432,862 : x
  2. Step 2: Convert to fraction form
    204,080/432,862 = 432,862/x
  3. Step 3: Cross multiply
    204,080x = 432,862 × 432,862
  4. Step 4: Simplify right side
    204,080x = 187,369,511,044
  5. Step 5: Solve for x
    x = 187,369,511,044/204,080
  6. Step 6: Final answer
    x = 918,117.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.