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Finding the Third Proportional to 176,308.50 and 260,757

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Solution

The third proportional to 176,308.50 and 260,757 is: 385,654.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,308.50 : 260,757 = 260,757 : x
  2. Step 2: Convert to fraction form
    176,308.50/260,757 = 260,757/x
  3. Step 3: Cross multiply
    176,308.50x = 260,757 × 260,757
  4. Step 4: Simplify right side
    176,308.50x = 67,994,213,049
  5. Step 5: Solve for x
    x = 67,994,213,049/176,308.50
  6. Step 6: Final answer
    x = 385,654.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.