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Finding the Third Proportional to 115,374 and 247,984

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Solution

The third proportional to 115,374 and 247,984 is: 533,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,374 : 247,984 = 247,984 : x
  2. Step 2: Convert to fraction form
    115,374/247,984 = 247,984/x
  3. Step 3: Cross multiply
    115,374x = 247,984 × 247,984
  4. Step 4: Simplify right side
    115,374x = 61,496,064,256
  5. Step 5: Solve for x
    x = 61,496,064,256/115,374
  6. Step 6: Final answer
    x = 533,014.93

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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.