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Finding the Third Proportional to 160,668 and 349,904.25

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Solution

The third proportional to 160,668 and 349,904.25 is: 762,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,668 : 349,904.25 = 349,904.25 : x
  2. Step 2: Convert to fraction form
    160,668/349,904.25 = 349,904.25/x
  3. Step 3: Cross multiply
    160,668x = 349,904.25 × 349,904.25
  4. Step 4: Simplify right side
    160,668x = 122,432,984,168.06
  5. Step 5: Solve for x
    x = 122,432,984,168.06/160,668
  6. Step 6: Final answer
    x = 762,024.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.