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Finding the Third Proportional to 153,616 and 334,159

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Solution

The third proportional to 153,616 and 334,159 is: 726,891.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,616 : 334,159 = 334,159 : x
  2. Step 2: Convert to fraction form
    153,616/334,159 = 334,159/x
  3. Step 3: Cross multiply
    153,616x = 334,159 × 334,159
  4. Step 4: Simplify right side
    153,616x = 111,662,237,281
  5. Step 5: Solve for x
    x = 111,662,237,281/153,616
  6. Step 6: Final answer
    x = 726,891.97

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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.