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Finding the Third Proportional to 181,958 and 247,210

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Solution

The third proportional to 181,958 and 247,210 is: 335,862.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,958 : 247,210 = 247,210 : x
  2. Step 2: Convert to fraction form
    181,958/247,210 = 247,210/x
  3. Step 3: Cross multiply
    181,958x = 247,210 × 247,210
  4. Step 4: Simplify right side
    181,958x = 61,112,784,100
  5. Step 5: Solve for x
    x = 61,112,784,100/181,958
  6. Step 6: Final answer
    x = 335,862.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.