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Finding the Third Proportional to 115,592 and 240,348

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Solution

The third proportional to 115,592 and 240,348 is: 499,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,592 : 240,348 = 240,348 : x
  2. Step 2: Convert to fraction form
    115,592/240,348 = 240,348/x
  3. Step 3: Cross multiply
    115,592x = 240,348 × 240,348
  4. Step 4: Simplify right side
    115,592x = 57,767,161,104
  5. Step 5: Solve for x
    x = 57,767,161,104/115,592
  6. Step 6: Final answer
    x = 499,750.51

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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.