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Finding the Third Proportional to 119,073.66 and 256,842.84

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Solution

The third proportional to 119,073.66 and 256,842.84 is: 554,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,073.66 : 256,842.84 = 256,842.84 : x
  2. Step 2: Convert to fraction form
    119,073.66/256,842.84 = 256,842.84/x
  3. Step 3: Cross multiply
    119,073.66x = 256,842.84 × 256,842.84
  4. Step 4: Simplify right side
    119,073.66x = 65,968,246,385.59
  5. Step 5: Solve for x
    x = 65,968,246,385.59/119,073.66
  6. Step 6: Final answer
    x = 554,012.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.