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Finding the Third Proportional to 182,211 and 392,101.50

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Solution

The third proportional to 182,211 and 392,101.50 is: 843,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,211 : 392,101.50 = 392,101.50 : x
  2. Step 2: Convert to fraction form
    182,211/392,101.50 = 392,101.50/x
  3. Step 3: Cross multiply
    182,211x = 392,101.50 × 392,101.50
  4. Step 4: Simplify right side
    182,211x = 153,743,586,302.25
  5. Step 5: Solve for x
    x = 153,743,586,302.25/182,211
  6. Step 6: Final answer
    x = 843,766.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.