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Finding the Third Proportional to 134,353.50 and 293,266.50

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Solution

The third proportional to 134,353.50 and 293,266.50 is: 640,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,353.50 : 293,266.50 = 293,266.50 : x
  2. Step 2: Convert to fraction form
    134,353.50/293,266.50 = 293,266.50/x
  3. Step 3: Cross multiply
    134,353.50x = 293,266.50 × 293,266.50
  4. Step 4: Simplify right side
    134,353.50x = 86,005,240,022.25
  5. Step 5: Solve for x
    x = 86,005,240,022.25/134,353.50
  6. Step 6: Final answer
    x = 640,141.42

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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.