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Finding the Third Proportional to 161,575 and 345,142

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Solution

The third proportional to 161,575 and 345,142 is: 737,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,575 : 345,142 = 345,142 : x
  2. Step 2: Convert to fraction form
    161,575/345,142 = 345,142/x
  3. Step 3: Cross multiply
    161,575x = 345,142 × 345,142
  4. Step 4: Simplify right side
    161,575x = 119,123,000,164
  5. Step 5: Solve for x
    x = 119,123,000,164/161,575
  6. Step 6: Final answer
    x = 737,261.33

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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.