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Finding the Third Proportional to 162,120 and 349,206

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Solution

The third proportional to 162,120 and 349,206 is: 752,188.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,120 : 349,206 = 349,206 : x
  2. Step 2: Convert to fraction form
    162,120/349,206 = 349,206/x
  3. Step 3: Cross multiply
    162,120x = 349,206 × 349,206
  4. Step 4: Simplify right side
    162,120x = 121,944,830,436
  5. Step 5: Solve for x
    x = 121,944,830,436/162,120
  6. Step 6: Final answer
    x = 752,188.69

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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.