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Finding the Third Proportional to 181,584.28 and 358,518.66

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Solution

The third proportional to 181,584.28 and 358,518.66 is: 707,856.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,584.28 : 358,518.66 = 358,518.66 : x
  2. Step 2: Convert to fraction form
    181,584.28/358,518.66 = 358,518.66/x
  3. Step 3: Cross multiply
    181,584.28x = 358,518.66 × 358,518.66
  4. Step 4: Simplify right side
    181,584.28x = 128,535,626,879.31
  5. Step 5: Solve for x
    x = 128,535,626,879.31/181,584.28
  6. Step 6: Final answer
    x = 707,856.57

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.