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Finding the Third Proportional to 115,588 and 240,340

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Solution

The third proportional to 115,588 and 240,340 is: 499,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,588 : 240,340 = 240,340 : x
  2. Step 2: Convert to fraction form
    115,588/240,340 = 240,340/x
  3. Step 3: Cross multiply
    115,588x = 240,340 × 240,340
  4. Step 4: Simplify right side
    115,588x = 57,763,315,600
  5. Step 5: Solve for x
    x = 57,763,315,600/115,588
  6. Step 6: Final answer
    x = 499,734.54

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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.