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Finding the Third Proportional to 152,158.50 and 232,854.75

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Solution

The third proportional to 152,158.50 and 232,854.75 is: 356,347.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,158.50 : 232,854.75 = 232,854.75 : x
  2. Step 2: Convert to fraction form
    152,158.50/232,854.75 = 232,854.75/x
  3. Step 3: Cross multiply
    152,158.50x = 232,854.75 × 232,854.75
  4. Step 4: Simplify right side
    152,158.50x = 54,221,334,597.56
  5. Step 5: Solve for x
    x = 54,221,334,597.56/152,158.50
  6. Step 6: Final answer
    x = 356,347.72

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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.