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Finding the Third Proportional to 134,338 and 294,212

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Solution

The third proportional to 134,338 and 294,212 is: 644,350.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,338 : 294,212 = 294,212 : x
  2. Step 2: Convert to fraction form
    134,338/294,212 = 294,212/x
  3. Step 3: Cross multiply
    134,338x = 294,212 × 294,212
  4. Step 4: Simplify right side
    134,338x = 86,560,700,944
  5. Step 5: Solve for x
    x = 86,560,700,944/134,338
  6. Step 6: Final answer
    x = 644,350.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.