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Finding the Third Proportional to 136,982 and 294,334

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Solution

The third proportional to 136,982 and 294,334 is: 632,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,982 : 294,334 = 294,334 : x
  2. Step 2: Convert to fraction form
    136,982/294,334 = 294,334/x
  3. Step 3: Cross multiply
    136,982x = 294,334 × 294,334
  4. Step 4: Simplify right side
    136,982x = 86,632,503,556
  5. Step 5: Solve for x
    x = 86,632,503,556/136,982
  6. Step 6: Final answer
    x = 632,437.13

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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.