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Finding the Third Proportional to 110,898 and 243,052

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Solution

The third proportional to 110,898 and 243,052 is: 532,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,898 : 243,052 = 243,052 : x
  2. Step 2: Convert to fraction form
    110,898/243,052 = 243,052/x
  3. Step 3: Cross multiply
    110,898x = 243,052 × 243,052
  4. Step 4: Simplify right side
    110,898x = 59,074,274,704
  5. Step 5: Solve for x
    x = 59,074,274,704/110,898
  6. Step 6: Final answer
    x = 532,690.17

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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.