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Finding the Third Proportional to 74,180.25 and 162,574.88

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Solution

The third proportional to 74,180.25 and 162,574.88 is: 356,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,180.25 : 162,574.88 = 162,574.88 : x
  2. Step 2: Convert to fraction form
    74,180.25/162,574.88 = 162,574.88/x
  3. Step 3: Cross multiply
    74,180.25x = 162,574.88 × 162,574.88
  4. Step 4: Simplify right side
    74,180.25x = 26,430,589,981.27
  5. Step 5: Solve for x
    x = 26,430,589,981.27/74,180.25
  6. Step 6: Final answer
    x = 356,302.25

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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.