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Finding the Third Proportional to 120,148.50 and 255,826.25

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Solution

The third proportional to 120,148.50 and 255,826.25 is: 544,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,148.50 : 255,826.25 = 255,826.25 : x
  2. Step 2: Convert to fraction form
    120,148.50/255,826.25 = 255,826.25/x
  3. Step 3: Cross multiply
    120,148.50x = 255,826.25 × 255,826.25
  4. Step 4: Simplify right side
    120,148.50x = 65,447,070,189.06
  5. Step 5: Solve for x
    x = 65,447,070,189.06/120,148.50
  6. Step 6: Final answer
    x = 544,718.16

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.