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Finding the Third Proportional to 113,924 and 244,712

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Solution

The third proportional to 113,924 and 244,712 is: 525,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,924 : 244,712 = 244,712 : x
  2. Step 2: Convert to fraction form
    113,924/244,712 = 244,712/x
  3. Step 3: Cross multiply
    113,924x = 244,712 × 244,712
  4. Step 4: Simplify right side
    113,924x = 59,883,962,944
  5. Step 5: Solve for x
    x = 59,883,962,944/113,924
  6. Step 6: Final answer
    x = 525,648.35

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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.