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Finding the Third Proportional to 144,304 and 319,754

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Solution

The third proportional to 144,304 and 319,754 is: 708,522.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,304 : 319,754 = 319,754 : x
  2. Step 2: Convert to fraction form
    144,304/319,754 = 319,754/x
  3. Step 3: Cross multiply
    144,304x = 319,754 × 319,754
  4. Step 4: Simplify right side
    144,304x = 102,242,620,516
  5. Step 5: Solve for x
    x = 102,242,620,516/144,304
  6. Step 6: Final answer
    x = 708,522.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.