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Finding the Third Proportional to 162,451.13 and 345,947.63

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Solution

The third proportional to 162,451.13 and 345,947.63 is: 736,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,451.13 : 345,947.63 = 345,947.63 : x
  2. Step 2: Convert to fraction form
    162,451.13/345,947.63 = 345,947.63/x
  3. Step 3: Cross multiply
    162,451.13x = 345,947.63 × 345,947.63
  4. Step 4: Simplify right side
    162,451.13x = 119,679,759,243.14
  5. Step 5: Solve for x
    x = 119,679,759,243.14/162,451.13
  6. Step 6: Final answer
    x = 736,712.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.