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Finding the Third Proportional to 134,016 and 201,328

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Solution

The third proportional to 134,016 and 201,328 is: 302,448.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,016 : 201,328 = 201,328 : x
  2. Step 2: Convert to fraction form
    134,016/201,328 = 201,328/x
  3. Step 3: Cross multiply
    134,016x = 201,328 × 201,328
  4. Step 4: Simplify right side
    134,016x = 40,532,963,584
  5. Step 5: Solve for x
    x = 40,532,963,584/134,016
  6. Step 6: Final answer
    x = 302,448.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.