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Finding the Third Proportional to 161,385 and 344,733

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Solution

The third proportional to 161,385 and 344,733 is: 736,380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,385 : 344,733 = 344,733 : x
  2. Step 2: Convert to fraction form
    161,385/344,733 = 344,733/x
  3. Step 3: Cross multiply
    161,385x = 344,733 × 344,733
  4. Step 4: Simplify right side
    161,385x = 118,840,841,289
  5. Step 5: Solve for x
    x = 118,840,841,289/161,385
  6. Step 6: Final answer
    x = 736,380.96

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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.