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Finding the Third Proportional to 176,223.75 and 283,749

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Solution

The third proportional to 176,223.75 and 283,749 is: 456,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,223.75 : 283,749 = 283,749 : x
  2. Step 2: Convert to fraction form
    176,223.75/283,749 = 283,749/x
  3. Step 3: Cross multiply
    176,223.75x = 283,749 × 283,749
  4. Step 4: Simplify right side
    176,223.75x = 80,513,495,001
  5. Step 5: Solve for x
    x = 80,513,495,001/176,223.75
  6. Step 6: Final answer
    x = 456,882.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.