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Finding the Third Proportional to 135,095 and 293,974

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Solution

The third proportional to 135,095 and 293,974 is: 639,703.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,095 : 293,974 = 293,974 : x
  2. Step 2: Convert to fraction form
    135,095/293,974 = 293,974/x
  3. Step 3: Cross multiply
    135,095x = 293,974 × 293,974
  4. Step 4: Simplify right side
    135,095x = 86,420,712,676
  5. Step 5: Solve for x
    x = 86,420,712,676/135,095
  6. Step 6: Final answer
    x = 639,703.27

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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.