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Finding the Third Proportional to 202,878 and 293,889

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Solution

The third proportional to 202,878 and 293,889 is: 425,727.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,878 : 293,889 = 293,889 : x
  2. Step 2: Convert to fraction form
    202,878/293,889 = 293,889/x
  3. Step 3: Cross multiply
    202,878x = 293,889 × 293,889
  4. Step 4: Simplify right side
    202,878x = 86,370,744,321
  5. Step 5: Solve for x
    x = 86,370,744,321/202,878
  6. Step 6: Final answer
    x = 425,727.50

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.