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Finding the Third Proportional to 149,779.13 and 232,566.19

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Solution

The third proportional to 149,779.13 and 232,566.19 is: 361,111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,779.13 : 232,566.19 = 232,566.19 : x
  2. Step 2: Convert to fraction form
    149,779.13/232,566.19 = 232,566.19/x
  3. Step 3: Cross multiply
    149,779.13x = 232,566.19 × 232,566.19
  4. Step 4: Simplify right side
    149,779.13x = 54,087,031,568.29
  5. Step 5: Solve for x
    x = 54,087,031,568.29/149,779.13
  6. Step 6: Final answer
    x = 361,111.95

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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.