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Finding the Third Proportional to 250,151 and 547,011

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Solution

The third proportional to 250,151 and 547,011 is: 1,196,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,151 : 547,011 = 547,011 : x
  2. Step 2: Convert to fraction form
    250,151/547,011 = 547,011/x
  3. Step 3: Cross multiply
    250,151x = 547,011 × 547,011
  4. Step 4: Simplify right side
    250,151x = 299,221,034,121
  5. Step 5: Solve for x
    x = 299,221,034,121/250,151
  6. Step 6: Final answer
    x = 1,196,161.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.