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Finding the Third Proportional to 113,220 and 239,926

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Solution

The third proportional to 113,220 and 239,926 is: 508,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,220 : 239,926 = 239,926 : x
  2. Step 2: Convert to fraction form
    113,220/239,926 = 239,926/x
  3. Step 3: Cross multiply
    113,220x = 239,926 × 239,926
  4. Step 4: Simplify right side
    113,220x = 57,564,485,476
  5. Step 5: Solve for x
    x = 57,564,485,476/113,220
  6. Step 6: Final answer
    x = 508,430.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.