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Finding the Third Proportional to 74,371.50 and 163,505.25

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Solution

The third proportional to 74,371.50 and 163,505.25 is: 359,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,371.50 : 163,505.25 = 163,505.25 : x
  2. Step 2: Convert to fraction form
    74,371.50/163,505.25 = 163,505.25/x
  3. Step 3: Cross multiply
    74,371.50x = 163,505.25 × 163,505.25
  4. Step 4: Simplify right side
    74,371.50x = 26,733,966,777.56
  5. Step 5: Solve for x
    x = 26,733,966,777.56/74,371.50
  6. Step 6: Final answer
    x = 359,465.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.