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Finding the Third Proportional to 74,317.50 and 162,729

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Solution

The third proportional to 74,317.50 and 162,729 is: 356,318.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,317.50 : 162,729 = 162,729 : x
  2. Step 2: Convert to fraction form
    74,317.50/162,729 = 162,729/x
  3. Step 3: Cross multiply
    74,317.50x = 162,729 × 162,729
  4. Step 4: Simplify right side
    74,317.50x = 26,480,727,441
  5. Step 5: Solve for x
    x = 26,480,727,441/74,317.50
  6. Step 6: Final answer
    x = 356,318.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.