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Finding the Third Proportional to 161,582 and 345,156

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Solution

The third proportional to 161,582 and 345,156 is: 737,289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,582 : 345,156 = 345,156 : x
  2. Step 2: Convert to fraction form
    161,582/345,156 = 345,156/x
  3. Step 3: Cross multiply
    161,582x = 345,156 × 345,156
  4. Step 4: Simplify right side
    161,582x = 119,132,664,336
  5. Step 5: Solve for x
    x = 119,132,664,336/161,582
  6. Step 6: Final answer
    x = 737,289.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.