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Finding the Third Proportional to 162,292 and 349,550

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Solution

The third proportional to 162,292 and 349,550 is: 752,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,292 : 349,550 = 349,550 : x
  2. Step 2: Convert to fraction form
    162,292/349,550 = 349,550/x
  3. Step 3: Cross multiply
    162,292x = 349,550 × 349,550
  4. Step 4: Simplify right side
    162,292x = 122,185,202,500
  5. Step 5: Solve for x
    x = 122,185,202,500/162,292
  6. Step 6: Final answer
    x = 752,872.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.