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Finding the Third Proportional to 141,040 and 293,740

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Solution

The third proportional to 141,040 and 293,740 is: 611,763.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,040 : 293,740 = 293,740 : x
  2. Step 2: Convert to fraction form
    141,040/293,740 = 293,740/x
  3. Step 3: Cross multiply
    141,040x = 293,740 × 293,740
  4. Step 4: Simplify right side
    141,040x = 86,283,187,600
  5. Step 5: Solve for x
    x = 86,283,187,600/141,040
  6. Step 6: Final answer
    x = 611,763.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.