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Finding the Third Proportional to 115,473 and 240,015

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Solution

The third proportional to 115,473 and 240,015 is: 498,880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,473 : 240,015 = 240,015 : x
  2. Step 2: Convert to fraction form
    115,473/240,015 = 240,015/x
  3. Step 3: Cross multiply
    115,473x = 240,015 × 240,015
  4. Step 4: Simplify right side
    115,473x = 57,607,200,225
  5. Step 5: Solve for x
    x = 57,607,200,225/115,473
  6. Step 6: Final answer
    x = 498,880.26

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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.