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Finding the Third Proportional to 237,178.50 and 513,723

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Solution

The third proportional to 237,178.50 and 513,723 is: 1,112,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,178.50 : 513,723 = 513,723 : x
  2. Step 2: Convert to fraction form
    237,178.50/513,723 = 513,723/x
  3. Step 3: Cross multiply
    237,178.50x = 513,723 × 513,723
  4. Step 4: Simplify right side
    237,178.50x = 263,911,320,729
  5. Step 5: Solve for x
    x = 263,911,320,729/237,178.50
  6. Step 6: Final answer
    x = 1,112,711.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.