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Finding the Third Proportional to 261,755.30 and 382,241.53

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Solution

The third proportional to 261,755.30 and 382,241.53 is: 558,187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,755.30 : 382,241.53 = 382,241.53 : x
  2. Step 2: Convert to fraction form
    261,755.30/382,241.53 = 382,241.53/x
  3. Step 3: Cross multiply
    261,755.30x = 382,241.53 × 382,241.53
  4. Step 4: Simplify right side
    261,755.30x = 146,108,588,212.35
  5. Step 5: Solve for x
    x = 146,108,588,212.35/261,755.30
  6. Step 6: Final answer
    x = 558,187.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.