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Finding the Third Proportional to 115,834 and 250,013

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Solution

The third proportional to 115,834 and 250,013 is: 539,621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,834 : 250,013 = 250,013 : x
  2. Step 2: Convert to fraction form
    115,834/250,013 = 250,013/x
  3. Step 3: Cross multiply
    115,834x = 250,013 × 250,013
  4. Step 4: Simplify right side
    115,834x = 62,506,500,169
  5. Step 5: Solve for x
    x = 62,506,500,169/115,834
  6. Step 6: Final answer
    x = 539,621.36

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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.