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Finding the Third Proportional to 198,304 and 319,232

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Solution

The third proportional to 198,304 and 319,232 is: 513,903.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,304 : 319,232 = 319,232 : x
  2. Step 2: Convert to fraction form
    198,304/319,232 = 319,232/x
  3. Step 3: Cross multiply
    198,304x = 319,232 × 319,232
  4. Step 4: Simplify right side
    198,304x = 101,909,069,824
  5. Step 5: Solve for x
    x = 101,909,069,824/198,304
  6. Step 6: Final answer
    x = 513,903.25

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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.