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Finding the Third Proportional to 134,747 and 293,400

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Solution

The third proportional to 134,747 and 293,400 is: 638,853.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,747 : 293,400 = 293,400 : x
  2. Step 2: Convert to fraction form
    134,747/293,400 = 293,400/x
  3. Step 3: Cross multiply
    134,747x = 293,400 × 293,400
  4. Step 4: Simplify right side
    134,747x = 86,083,560,000
  5. Step 5: Solve for x
    x = 86,083,560,000/134,747
  6. Step 6: Final answer
    x = 638,853.26

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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.