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Finding the Third Proportional to 117,019.69 and 253,585.69

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Solution

The third proportional to 117,019.69 and 253,585.69 is: 549,528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,019.69 : 253,585.69 = 253,585.69 : x
  2. Step 2: Convert to fraction form
    117,019.69/253,585.69 = 253,585.69/x
  3. Step 3: Cross multiply
    117,019.69x = 253,585.69 × 253,585.69
  4. Step 4: Simplify right side
    117,019.69x = 64,305,700,904.85
  5. Step 5: Solve for x
    x = 64,305,700,904.85/117,019.69
  6. Step 6: Final answer
    x = 549,528.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.