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Finding the Third Proportional to 119,414.25 and 176,888.81

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Solution

The third proportional to 119,414.25 and 176,888.81 is: 262,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,414.25 : 176,888.81 = 176,888.81 : x
  2. Step 2: Convert to fraction form
    119,414.25/176,888.81 = 176,888.81/x
  3. Step 3: Cross multiply
    119,414.25x = 176,888.81 × 176,888.81
  4. Step 4: Simplify right side
    119,414.25x = 31,289,651,987.66
  5. Step 5: Solve for x
    x = 31,289,651,987.66/119,414.25
  6. Step 6: Final answer
    x = 262,026.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.