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Finding the Third Proportional to 185,053 and 398,915

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Solution

The third proportional to 185,053 and 398,915 is: 859,932.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,053 : 398,915 = 398,915 : x
  2. Step 2: Convert to fraction form
    185,053/398,915 = 398,915/x
  3. Step 3: Cross multiply
    185,053x = 398,915 × 398,915
  4. Step 4: Simplify right side
    185,053x = 159,133,177,225
  5. Step 5: Solve for x
    x = 159,133,177,225/185,053
  6. Step 6: Final answer
    x = 859,932.98

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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.