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Finding the Third Proportional to 119,287.69 and 255,124.69

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Solution

The third proportional to 119,287.69 and 255,124.69 is: 545,643.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,287.69 : 255,124.69 = 255,124.69 : x
  2. Step 2: Convert to fraction form
    119,287.69/255,124.69 = 255,124.69/x
  3. Step 3: Cross multiply
    119,287.69x = 255,124.69 × 255,124.69
  4. Step 4: Simplify right side
    119,287.69x = 65,088,606,171.97
  5. Step 5: Solve for x
    x = 65,088,606,171.97/119,287.69
  6. Step 6: Final answer
    x = 545,643.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.