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Finding the Third Proportional to 223,952.50 and 487,269

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Solution

The third proportional to 223,952.50 and 487,269 is: 1,060,184.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,952.50 : 487,269 = 487,269 : x
  2. Step 2: Convert to fraction form
    223,952.50/487,269 = 487,269/x
  3. Step 3: Cross multiply
    223,952.50x = 487,269 × 487,269
  4. Step 4: Simplify right side
    223,952.50x = 237,431,078,361
  5. Step 5: Solve for x
    x = 237,431,078,361/223,952.50
  6. Step 6: Final answer
    x = 1,060,184.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.