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Finding the Third Proportional to 134,791.50 and 293,487

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Solution

The third proportional to 134,791.50 and 293,487 is: 639,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,791.50 : 293,487 = 293,487 : x
  2. Step 2: Convert to fraction form
    134,791.50/293,487 = 293,487/x
  3. Step 3: Cross multiply
    134,791.50x = 293,487 × 293,487
  4. Step 4: Simplify right side
    134,791.50x = 86,134,619,169
  5. Step 5: Solve for x
    x = 86,134,619,169/134,791.50
  6. Step 6: Final answer
    x = 639,021.15

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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.