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Finding the Third Proportional to 281,952 and 415,138

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Solution

The third proportional to 281,952 and 415,138 is: 611,237.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,952 : 415,138 = 415,138 : x
  2. Step 2: Convert to fraction form
    281,952/415,138 = 415,138/x
  3. Step 3: Cross multiply
    281,952x = 415,138 × 415,138
  4. Step 4: Simplify right side
    281,952x = 172,339,559,044
  5. Step 5: Solve for x
    x = 172,339,559,044/281,952
  6. Step 6: Final answer
    x = 611,237.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.