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Finding the Third Proportional to 109,850 and 241,088

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Solution

The third proportional to 109,850 and 241,088 is: 529,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,850 : 241,088 = 241,088 : x
  2. Step 2: Convert to fraction form
    109,850/241,088 = 241,088/x
  3. Step 3: Cross multiply
    109,850x = 241,088 × 241,088
  4. Step 4: Simplify right side
    109,850x = 58,123,423,744
  5. Step 5: Solve for x
    x = 58,123,423,744/109,850
  6. Step 6: Final answer
    x = 529,116.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.