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Finding the Third Proportional to 134,408 and 293,412

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Solution

The third proportional to 134,408 and 293,412 is: 640,516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,408 : 293,412 = 293,412 : x
  2. Step 2: Convert to fraction form
    134,408/293,412 = 293,412/x
  3. Step 3: Cross multiply
    134,408x = 293,412 × 293,412
  4. Step 4: Simplify right side
    134,408x = 86,090,601,744
  5. Step 5: Solve for x
    x = 86,090,601,744/134,408
  6. Step 6: Final answer
    x = 640,516.95

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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.