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Finding the Third Proportional to 176,306.50 and 260,754

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Solution

The third proportional to 176,306.50 and 260,754 is: 385,650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,306.50 : 260,754 = 260,754 : x
  2. Step 2: Convert to fraction form
    176,306.50/260,754 = 260,754/x
  3. Step 3: Cross multiply
    176,306.50x = 260,754 × 260,754
  4. Step 4: Simplify right side
    176,306.50x = 67,992,648,516
  5. Step 5: Solve for x
    x = 67,992,648,516/176,306.50
  6. Step 6: Final answer
    x = 385,650.27

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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.