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Finding the Third Proportional to 158,319 and 323,084.25

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Solution

The third proportional to 158,319 and 323,084.25 is: 659,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,319 : 323,084.25 = 323,084.25 : x
  2. Step 2: Convert to fraction form
    158,319/323,084.25 = 323,084.25/x
  3. Step 3: Cross multiply
    158,319x = 323,084.25 × 323,084.25
  4. Step 4: Simplify right side
    158,319x = 104,383,432,598.06
  5. Step 5: Solve for x
    x = 104,383,432,598.06/158,319
  6. Step 6: Final answer
    x = 659,323.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.