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Finding the Third Proportional to 231,666.75 and 349,984.13

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Solution

The third proportional to 231,666.75 and 349,984.13 is: 528,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,666.75 : 349,984.13 = 349,984.13 : x
  2. Step 2: Convert to fraction form
    231,666.75/349,984.13 = 349,984.13/x
  3. Step 3: Cross multiply
    231,666.75x = 349,984.13 × 349,984.13
  4. Step 4: Simplify right side
    231,666.75x = 122,488,887,752.02
  5. Step 5: Solve for x
    x = 122,488,887,752.02/231,666.75
  6. Step 6: Final answer
    x = 528,728.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.