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Finding the Third Proportional to 153,542.25 and 235,176.75

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Solution

The third proportional to 153,542.25 and 235,176.75 is: 360,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,542.25 : 235,176.75 = 235,176.75 : x
  2. Step 2: Convert to fraction form
    153,542.25/235,176.75 = 235,176.75/x
  3. Step 3: Cross multiply
    153,542.25x = 235,176.75 × 235,176.75
  4. Step 4: Simplify right side
    153,542.25x = 55,308,103,740.56
  5. Step 5: Solve for x
    x = 55,308,103,740.56/153,542.25
  6. Step 6: Final answer
    x = 360,214.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.