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Finding the Third Proportional to 74,693.25 and 163,372.50

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Solution

The third proportional to 74,693.25 and 163,372.50 is: 357,335.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,693.25 : 163,372.50 = 163,372.50 : x
  2. Step 2: Convert to fraction form
    74,693.25/163,372.50 = 163,372.50/x
  3. Step 3: Cross multiply
    74,693.25x = 163,372.50 × 163,372.50
  4. Step 4: Simplify right side
    74,693.25x = 26,690,573,756.25
  5. Step 5: Solve for x
    x = 26,690,573,756.25/74,693.25
  6. Step 6: Final answer
    x = 357,335.82

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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.