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Finding the Third Proportional to 191,233 and 420,210

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Solution

The third proportional to 191,233 and 420,210 is: 923,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,233 : 420,210 = 420,210 : x
  2. Step 2: Convert to fraction form
    191,233/420,210 = 420,210/x
  3. Step 3: Cross multiply
    191,233x = 420,210 × 420,210
  4. Step 4: Simplify right side
    191,233x = 176,576,444,100
  5. Step 5: Solve for x
    x = 176,576,444,100/191,233
  6. Step 6: Final answer
    x = 923,357.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.