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Finding the Third Proportional to 194,952 and 293,868

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Solution

The third proportional to 194,952 and 293,868 is: 442,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,952 : 293,868 = 293,868 : x
  2. Step 2: Convert to fraction form
    194,952/293,868 = 293,868/x
  3. Step 3: Cross multiply
    194,952x = 293,868 × 293,868
  4. Step 4: Simplify right side
    194,952x = 86,358,401,424
  5. Step 5: Solve for x
    x = 86,358,401,424/194,952
  6. Step 6: Final answer
    x = 442,972.64

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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.