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Finding the Third Proportional to 176,600 and 265,624

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Solution

The third proportional to 176,600 and 265,624 is: 399,524.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,600 : 265,624 = 265,624 : x
  2. Step 2: Convert to fraction form
    176,600/265,624 = 265,624/x
  3. Step 3: Cross multiply
    176,600x = 265,624 × 265,624
  4. Step 4: Simplify right side
    176,600x = 70,556,109,376
  5. Step 5: Solve for x
    x = 70,556,109,376/176,600
  6. Step 6: Final answer
    x = 399,524.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.