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Finding the Third Proportional to 88,974 and 185,330

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Solution

The third proportional to 88,974 and 185,330 is: 386,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,974 : 185,330 = 185,330 : x
  2. Step 2: Convert to fraction form
    88,974/185,330 = 185,330/x
  3. Step 3: Cross multiply
    88,974x = 185,330 × 185,330
  4. Step 4: Simplify right side
    88,974x = 34,347,208,900
  5. Step 5: Solve for x
    x = 34,347,208,900/88,974
  6. Step 6: Final answer
    x = 386,036.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.