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Finding the Third Proportional to 153,569 and 235,244

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Solution

The third proportional to 153,569 and 235,244 is: 360,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,569 : 235,244 = 235,244 : x
  2. Step 2: Convert to fraction form
    153,569/235,244 = 235,244/x
  3. Step 3: Cross multiply
    153,569x = 235,244 × 235,244
  4. Step 4: Simplify right side
    153,569x = 55,339,739,536
  5. Step 5: Solve for x
    x = 55,339,739,536/153,569
  6. Step 6: Final answer
    x = 360,357.49

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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.