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Finding the Third Proportional to 162,752 and 360,334

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Solution

The third proportional to 162,752 and 360,334 is: 797,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,752 : 360,334 = 360,334 : x
  2. Step 2: Convert to fraction form
    162,752/360,334 = 360,334/x
  3. Step 3: Cross multiply
    162,752x = 360,334 × 360,334
  4. Step 4: Simplify right side
    162,752x = 129,840,591,556
  5. Step 5: Solve for x
    x = 129,840,591,556/162,752
  6. Step 6: Final answer
    x = 797,781.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.