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Finding the Third Proportional to 158,511 and 235,147

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Solution

The third proportional to 158,511 and 235,147 is: 348,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,511 : 235,147 = 235,147 : x
  2. Step 2: Convert to fraction form
    158,511/235,147 = 235,147/x
  3. Step 3: Cross multiply
    158,511x = 235,147 × 235,147
  4. Step 4: Simplify right side
    158,511x = 55,294,111,609
  5. Step 5: Solve for x
    x = 55,294,111,609/158,511
  6. Step 6: Final answer
    x = 348,834.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.