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Finding the Third Proportional to 153,541 and 235,172

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Solution

The third proportional to 153,541 and 235,172 is: 360,202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,541 : 235,172 = 235,172 : x
  2. Step 2: Convert to fraction form
    153,541/235,172 = 235,172/x
  3. Step 3: Cross multiply
    153,541x = 235,172 × 235,172
  4. Step 4: Simplify right side
    153,541x = 55,305,869,584
  5. Step 5: Solve for x
    x = 55,305,869,584/153,541
  6. Step 6: Final answer
    x = 360,202.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.