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Finding the Third Proportional to 119,826.50 and 260,793.50

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Solution

The third proportional to 119,826.50 and 260,793.50 is: 567,597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,826.50 : 260,793.50 = 260,793.50 : x
  2. Step 2: Convert to fraction form
    119,826.50/260,793.50 = 260,793.50/x
  3. Step 3: Cross multiply
    119,826.50x = 260,793.50 × 260,793.50
  4. Step 4: Simplify right side
    119,826.50x = 68,013,249,642.25
  5. Step 5: Solve for x
    x = 68,013,249,642.25/119,826.50
  6. Step 6: Final answer
    x = 567,597.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.