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Finding the Third Proportional to 194,763 and 293,426

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Solution

The third proportional to 194,763 and 293,426 is: 442,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,763 : 293,426 = 293,426 : x
  2. Step 2: Convert to fraction form
    194,763/293,426 = 293,426/x
  3. Step 3: Cross multiply
    194,763x = 293,426 × 293,426
  4. Step 4: Simplify right side
    194,763x = 86,098,817,476
  5. Step 5: Solve for x
    x = 86,098,817,476/194,763
  6. Step 6: Final answer
    x = 442,069.68

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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.