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Finding the Third Proportional to 153,614 and 334,155

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Solution

The third proportional to 153,614 and 334,155 is: 726,884.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,614 : 334,155 = 334,155 : x
  2. Step 2: Convert to fraction form
    153,614/334,155 = 334,155/x
  3. Step 3: Cross multiply
    153,614x = 334,155 × 334,155
  4. Step 4: Simplify right side
    153,614x = 111,659,564,025
  5. Step 5: Solve for x
    x = 111,659,564,025/153,614
  6. Step 6: Final answer
    x = 726,884.03

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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.