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Finding the Third Proportional to 194,954 and 293,871

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Solution

The third proportional to 194,954 and 293,871 is: 442,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,954 : 293,871 = 293,871 : x
  2. Step 2: Convert to fraction form
    194,954/293,871 = 293,871/x
  3. Step 3: Cross multiply
    194,954x = 293,871 × 293,871
  4. Step 4: Simplify right side
    194,954x = 86,360,164,641
  5. Step 5: Solve for x
    x = 86,360,164,641/194,954
  6. Step 6: Final answer
    x = 442,977.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.