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Finding the Third Proportional to 243,758 and 532,228

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Solution

The third proportional to 243,758 and 532,228 is: 1,162,081.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,758 : 532,228 = 532,228 : x
  2. Step 2: Convert to fraction form
    243,758/532,228 = 532,228/x
  3. Step 3: Cross multiply
    243,758x = 532,228 × 532,228
  4. Step 4: Simplify right side
    243,758x = 283,266,643,984
  5. Step 5: Solve for x
    x = 283,266,643,984/243,758
  6. Step 6: Final answer
    x = 1,162,081.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.