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Finding the Third Proportional to 158,074.13 and 237,114.75

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Solution

The third proportional to 158,074.13 and 237,114.75 is: 355,677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,074.13 : 237,114.75 = 237,114.75 : x
  2. Step 2: Convert to fraction form
    158,074.13/237,114.75 = 237,114.75/x
  3. Step 3: Cross multiply
    158,074.13x = 237,114.75 × 237,114.75
  4. Step 4: Simplify right side
    158,074.13x = 56,223,404,667.56
  5. Step 5: Solve for x
    x = 56,223,404,667.56/158,074.13
  6. Step 6: Final answer
    x = 355,677.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.