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Finding the Third Proportional to 147,582 and 223,131

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Solution

The third proportional to 147,582 and 223,131 is: 337,354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,582 : 223,131 = 223,131 : x
  2. Step 2: Convert to fraction form
    147,582/223,131 = 223,131/x
  3. Step 3: Cross multiply
    147,582x = 223,131 × 223,131
  4. Step 4: Simplify right side
    147,582x = 49,787,443,161
  5. Step 5: Solve for x
    x = 49,787,443,161/147,582
  6. Step 6: Final answer
    x = 337,354.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.