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Finding the Third Proportional to 109,554 and 235,713

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Solution

The third proportional to 109,554 and 235,713 is: 507,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,554 : 235,713 = 235,713 : x
  2. Step 2: Convert to fraction form
    109,554/235,713 = 235,713/x
  3. Step 3: Cross multiply
    109,554x = 235,713 × 235,713
  4. Step 4: Simplify right side
    109,554x = 55,560,618,369
  5. Step 5: Solve for x
    x = 55,560,618,369/109,554
  6. Step 6: Final answer
    x = 507,152.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.