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Finding the Third Proportional to 97,228 and 152,326

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Solution

The third proportional to 97,228 and 152,326 is: 238,647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,228 : 152,326 = 152,326 : x
  2. Step 2: Convert to fraction form
    97,228/152,326 = 152,326/x
  3. Step 3: Cross multiply
    97,228x = 152,326 × 152,326
  4. Step 4: Simplify right side
    97,228x = 23,203,210,276
  5. Step 5: Solve for x
    x = 23,203,210,276/97,228
  6. Step 6: Final answer
    x = 238,647.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.