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Finding the Third Proportional to 175,304 and 383,960

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Solution

The third proportional to 175,304 and 383,960 is: 840,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,304 : 383,960 = 383,960 : x
  2. Step 2: Convert to fraction form
    175,304/383,960 = 383,960/x
  3. Step 3: Cross multiply
    175,304x = 383,960 × 383,960
  4. Step 4: Simplify right side
    175,304x = 147,425,281,600
  5. Step 5: Solve for x
    x = 147,425,281,600/175,304
  6. Step 6: Final answer
    x = 840,969.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.