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Finding the Third Proportional to 193,624 and 311,932

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Solution

The third proportional to 193,624 and 311,932 is: 502,528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,624 : 311,932 = 311,932 : x
  2. Step 2: Convert to fraction form
    193,624/311,932 = 311,932/x
  3. Step 3: Cross multiply
    193,624x = 311,932 × 311,932
  4. Step 4: Simplify right side
    193,624x = 97,301,572,624
  5. Step 5: Solve for x
    x = 97,301,572,624/193,624
  6. Step 6: Final answer
    x = 502,528.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.