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Finding the Third Proportional to 161,484 and 347,646

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Solution

The third proportional to 161,484 and 347,646 is: 748,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,484 : 347,646 = 347,646 : x
  2. Step 2: Convert to fraction form
    161,484/347,646 = 347,646/x
  3. Step 3: Cross multiply
    161,484x = 347,646 × 347,646
  4. Step 4: Simplify right side
    161,484x = 120,857,741,316
  5. Step 5: Solve for x
    x = 120,857,741,316/161,484
  6. Step 6: Final answer
    x = 748,419.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.