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Finding the Third Proportional to 221,314.50 and 335,313

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Solution

The third proportional to 221,314.50 and 335,313 is: 508,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,314.50 : 335,313 = 335,313 : x
  2. Step 2: Convert to fraction form
    221,314.50/335,313 = 335,313/x
  3. Step 3: Cross multiply
    221,314.50x = 335,313 × 335,313
  4. Step 4: Simplify right side
    221,314.50x = 112,434,807,969
  5. Step 5: Solve for x
    x = 112,434,807,969/221,314.50
  6. Step 6: Final answer
    x = 508,031.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.