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Finding the Third Proportional to 155,148 and 235,872

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Solution

The third proportional to 155,148 and 235,872 is: 358,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,148 : 235,872 = 235,872 : x
  2. Step 2: Convert to fraction form
    155,148/235,872 = 235,872/x
  3. Step 3: Cross multiply
    155,148x = 235,872 × 235,872
  4. Step 4: Simplify right side
    155,148x = 55,635,600,384
  5. Step 5: Solve for x
    x = 55,635,600,384/155,148
  6. Step 6: Final answer
    x = 358,596.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.