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Finding the Third Proportional to 88,454 and 181,514

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Solution

The third proportional to 88,454 and 181,514 is: 372,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,454 : 181,514 = 181,514 : x
  2. Step 2: Convert to fraction form
    88,454/181,514 = 181,514/x
  3. Step 3: Cross multiply
    88,454x = 181,514 × 181,514
  4. Step 4: Simplify right side
    88,454x = 32,947,332,196
  5. Step 5: Solve for x
    x = 32,947,332,196/88,454
  6. Step 6: Final answer
    x = 372,479.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.