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Finding the Third Proportional to 203,499 and 442,029

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Solution

The third proportional to 203,499 and 442,029 is: 960,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,499 : 442,029 = 442,029 : x
  2. Step 2: Convert to fraction form
    203,499/442,029 = 442,029/x
  3. Step 3: Cross multiply
    203,499x = 442,029 × 442,029
  4. Step 4: Simplify right side
    203,499x = 195,389,636,841
  5. Step 5: Solve for x
    x = 195,389,636,841/203,499
  6. Step 6: Final answer
    x = 960,150.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.