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Finding the Third Proportional to 140,754 and 293,118

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Solution

The third proportional to 140,754 and 293,118 is: 610,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,754 : 293,118 = 293,118 : x
  2. Step 2: Convert to fraction form
    140,754/293,118 = 293,118/x
  3. Step 3: Cross multiply
    140,754x = 293,118 × 293,118
  4. Step 4: Simplify right side
    140,754x = 85,918,161,924
  5. Step 5: Solve for x
    x = 85,918,161,924/140,754
  6. Step 6: Final answer
    x = 610,413.64

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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.