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Finding the Third Proportional to 141,357.50 and 218,596

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Solution

The third proportional to 141,357.50 and 218,596 is: 338,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,357.50 : 218,596 = 218,596 : x
  2. Step 2: Convert to fraction form
    141,357.50/218,596 = 218,596/x
  3. Step 3: Cross multiply
    141,357.50x = 218,596 × 218,596
  4. Step 4: Simplify right side
    141,357.50x = 47,784,211,216
  5. Step 5: Solve for x
    x = 47,784,211,216/141,357.50
  6. Step 6: Final answer
    x = 338,038.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.