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Finding the Third Proportional to 141,166 and 293,948

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Solution

The third proportional to 141,166 and 293,948 is: 612,083.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,166 : 293,948 = 293,948 : x
  2. Step 2: Convert to fraction form
    141,166/293,948 = 293,948/x
  3. Step 3: Cross multiply
    141,166x = 293,948 × 293,948
  4. Step 4: Simplify right side
    141,166x = 86,405,426,704
  5. Step 5: Solve for x
    x = 86,405,426,704/141,166
  6. Step 6: Final answer
    x = 612,083.84

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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.