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Finding the Third Proportional to 176,314 and 260,764

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Solution

The third proportional to 176,314 and 260,764 is: 385,663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,314 : 260,764 = 260,764 : x
  2. Step 2: Convert to fraction form
    176,314/260,764 = 260,764/x
  3. Step 3: Cross multiply
    176,314x = 260,764 × 260,764
  4. Step 4: Simplify right side
    176,314x = 67,997,863,696
  5. Step 5: Solve for x
    x = 67,997,863,696/176,314
  6. Step 6: Final answer
    x = 385,663.44

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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.