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Finding the Third Proportional to 153,779.13 and 207,015.12

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Solution

The third proportional to 153,779.13 and 207,015.12 is: 278,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,779.13 : 207,015.12 = 207,015.12 : x
  2. Step 2: Convert to fraction form
    153,779.13/207,015.12 = 207,015.12/x
  3. Step 3: Cross multiply
    153,779.13x = 207,015.12 × 207,015.12
  4. Step 4: Simplify right side
    153,779.13x = 42,855,258,744.15
  5. Step 5: Solve for x
    x = 42,855,258,744.15/153,779.13
  6. Step 6: Final answer
    x = 278,680.59

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.