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Finding the Third Proportional to 288,175.50 and 626,186

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Solution

The third proportional to 288,175.50 and 626,186 is: 1,360,660.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,175.50 : 626,186 = 626,186 : x
  2. Step 2: Convert to fraction form
    288,175.50/626,186 = 626,186/x
  3. Step 3: Cross multiply
    288,175.50x = 626,186 × 626,186
  4. Step 4: Simplify right side
    288,175.50x = 392,108,906,596
  5. Step 5: Solve for x
    x = 392,108,906,596/288,175.50
  6. Step 6: Final answer
    x = 1,360,660.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.