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Finding the Third Proportional to 145,304 and 313,558

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Solution

The third proportional to 145,304 and 313,558 is: 676,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,304 : 313,558 = 313,558 : x
  2. Step 2: Convert to fraction form
    145,304/313,558 = 313,558/x
  3. Step 3: Cross multiply
    145,304x = 313,558 × 313,558
  4. Step 4: Simplify right side
    145,304x = 98,318,619,364
  5. Step 5: Solve for x
    x = 98,318,619,364/145,304
  6. Step 6: Final answer
    x = 676,640.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.