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Finding the Third Proportional to 194,624 and 293,328

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Solution

The third proportional to 194,624 and 293,328 is: 442,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,624 : 293,328 = 293,328 : x
  2. Step 2: Convert to fraction form
    194,624/293,328 = 293,328/x
  3. Step 3: Cross multiply
    194,624x = 293,328 × 293,328
  4. Step 4: Simplify right side
    194,624x = 86,041,315,584
  5. Step 5: Solve for x
    x = 86,041,315,584/194,624
  6. Step 6: Final answer
    x = 442,089.96

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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.