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Finding the Third Proportional to 194,432 and 278,032

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Solution

The third proportional to 194,432 and 278,032 is: 397,577.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,432 : 278,032 = 278,032 : x
  2. Step 2: Convert to fraction form
    194,432/278,032 = 278,032/x
  3. Step 3: Cross multiply
    194,432x = 278,032 × 278,032
  4. Step 4: Simplify right side
    194,432x = 77,301,793,024
  5. Step 5: Solve for x
    x = 77,301,793,024/194,432
  6. Step 6: Final answer
    x = 397,577.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.