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Finding the Third Proportional to 238,191.50 and 510,920

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Solution

The third proportional to 238,191.50 and 510,920 is: 1,095,921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,191.50 : 510,920 = 510,920 : x
  2. Step 2: Convert to fraction form
    238,191.50/510,920 = 510,920/x
  3. Step 3: Cross multiply
    238,191.50x = 510,920 × 510,920
  4. Step 4: Simplify right side
    238,191.50x = 261,039,246,400
  5. Step 5: Solve for x
    x = 261,039,246,400/238,191.50
  6. Step 6: Final answer
    x = 1,095,921.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.