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Finding the Third Proportional to 115,746 and 250,708

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Solution

The third proportional to 115,746 and 250,708 is: 543,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,746 : 250,708 = 250,708 : x
  2. Step 2: Convert to fraction form
    115,746/250,708 = 250,708/x
  3. Step 3: Cross multiply
    115,746x = 250,708 × 250,708
  4. Step 4: Simplify right side
    115,746x = 62,854,501,264
  5. Step 5: Solve for x
    x = 62,854,501,264/115,746
  6. Step 6: Final answer
    x = 543,038.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.