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Finding the Third Proportional to 102,822 and 238,015

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Solution

The third proportional to 102,822 and 238,015 is: 550,963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,822 : 238,015 = 238,015 : x
  2. Step 2: Convert to fraction form
    102,822/238,015 = 238,015/x
  3. Step 3: Cross multiply
    102,822x = 238,015 × 238,015
  4. Step 4: Simplify right side
    102,822x = 56,651,140,225
  5. Step 5: Solve for x
    x = 56,651,140,225/102,822
  6. Step 6: Final answer
    x = 550,963.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.