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Finding the Third Proportional to 115,718 and 240,650

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Solution

The third proportional to 115,718 and 240,650 is: 500,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,718 : 240,650 = 240,650 : x
  2. Step 2: Convert to fraction form
    115,718/240,650 = 240,650/x
  3. Step 3: Cross multiply
    115,718x = 240,650 × 240,650
  4. Step 4: Simplify right side
    115,718x = 57,912,422,500
  5. Step 5: Solve for x
    x = 57,912,422,500/115,718
  6. Step 6: Final answer
    x = 500,461.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.