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Finding the Third Proportional to 152,217 and 241,017

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Solution

The third proportional to 152,217 and 241,017 is: 381,620.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,217 : 241,017 = 241,017 : x
  2. Step 2: Convert to fraction form
    152,217/241,017 = 241,017/x
  3. Step 3: Cross multiply
    152,217x = 241,017 × 241,017
  4. Step 4: Simplify right side
    152,217x = 58,089,194,289
  5. Step 5: Solve for x
    x = 58,089,194,289/152,217
  6. Step 6: Final answer
    x = 381,620.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.