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Finding the Third Proportional to 223,400 and 293,628

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Solution

The third proportional to 223,400 and 293,628 is: 385,932.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,400 : 293,628 = 293,628 : x
  2. Step 2: Convert to fraction form
    223,400/293,628 = 293,628/x
  3. Step 3: Cross multiply
    223,400x = 293,628 × 293,628
  4. Step 4: Simplify right side
    223,400x = 86,217,402,384
  5. Step 5: Solve for x
    x = 86,217,402,384/223,400
  6. Step 6: Final answer
    x = 385,932.87

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.