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Finding the Third Proportional to 115,342 and 248,460

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Solution

The third proportional to 115,342 and 248,460 is: 535,211.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,342 : 248,460 = 248,460 : x
  2. Step 2: Convert to fraction form
    115,342/248,460 = 248,460/x
  3. Step 3: Cross multiply
    115,342x = 248,460 × 248,460
  4. Step 4: Simplify right side
    115,342x = 61,732,371,600
  5. Step 5: Solve for x
    x = 61,732,371,600/115,342
  6. Step 6: Final answer
    x = 535,211.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.