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Finding the Third Proportional to 162,085.13 and 349,138.50

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Solution

The third proportional to 162,085.13 and 349,138.50 is: 752,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,085.13 : 349,138.50 = 349,138.50 : x
  2. Step 2: Convert to fraction form
    162,085.13/349,138.50 = 349,138.50/x
  3. Step 3: Cross multiply
    162,085.13x = 349,138.50 × 349,138.50
  4. Step 4: Simplify right side
    162,085.13x = 121,897,692,182.25
  5. Step 5: Solve for x
    x = 121,897,692,182.25/162,085.13
  6. Step 6: Final answer
    x = 752,059.71

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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.