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Finding the Third Proportional to 153,670 and 334,268

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Solution

The third proportional to 153,670 and 334,268 is: 727,110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,670 : 334,268 = 334,268 : x
  2. Step 2: Convert to fraction form
    153,670/334,268 = 334,268/x
  3. Step 3: Cross multiply
    153,670x = 334,268 × 334,268
  4. Step 4: Simplify right side
    153,670x = 111,735,095,824
  5. Step 5: Solve for x
    x = 111,735,095,824/153,670
  6. Step 6: Final answer
    x = 727,110.66

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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.