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Finding the Third Proportional to 176,311.50 and 260,761.50

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Solution

The third proportional to 176,311.50 and 260,761.50 is: 385,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,311.50 : 260,761.50 = 260,761.50 : x
  2. Step 2: Convert to fraction form
    176,311.50/260,761.50 = 260,761.50/x
  3. Step 3: Cross multiply
    176,311.50x = 260,761.50 × 260,761.50
  4. Step 4: Simplify right side
    176,311.50x = 67,996,559,882.25
  5. Step 5: Solve for x
    x = 67,996,559,882.25/176,311.50
  6. Step 6: Final answer
    x = 385,661.51

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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.