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Finding the Third Proportional to 243,085.50 and 367,981.88

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Solution

The third proportional to 243,085.50 and 367,981.88 is: 557,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,085.50 : 367,981.88 = 367,981.88 : x
  2. Step 2: Convert to fraction form
    243,085.50/367,981.88 = 367,981.88/x
  3. Step 3: Cross multiply
    243,085.50x = 367,981.88 × 367,981.88
  4. Step 4: Simplify right side
    243,085.50x = 135,410,660,328.52
  5. Step 5: Solve for x
    x = 135,410,660,328.52/243,085.50
  6. Step 6: Final answer
    x = 557,049.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.