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Finding the Third Proportional to 110,850 and 245,028

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Solution

The third proportional to 110,850 and 245,028 is: 541,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,850 : 245,028 = 245,028 : x
  2. Step 2: Convert to fraction form
    110,850/245,028 = 245,028/x
  3. Step 3: Cross multiply
    110,850x = 245,028 × 245,028
  4. Step 4: Simplify right side
    110,850x = 60,038,720,784
  5. Step 5: Solve for x
    x = 60,038,720,784/110,850
  6. Step 6: Final answer
    x = 541,621.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.