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Finding the Third Proportional to 140,815.13 and 293,284.13

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Solution

The third proportional to 140,815.13 and 293,284.13 is: 610,840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,815.13 : 293,284.13 = 293,284.13 : x
  2. Step 2: Convert to fraction form
    140,815.13/293,284.13 = 293,284.13/x
  3. Step 3: Cross multiply
    140,815.13x = 293,284.13 × 293,284.13
  4. Step 4: Simplify right side
    140,815.13x = 86,015,577,977.02
  5. Step 5: Solve for x
    x = 86,015,577,977.02/140,815.13
  6. Step 6: Final answer
    x = 610,840.48

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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.