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Finding the Third Proportional to 134,906 and 202,371

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Solution

The third proportional to 134,906 and 202,371 is: 303,574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,906 : 202,371 = 202,371 : x
  2. Step 2: Convert to fraction form
    134,906/202,371 = 202,371/x
  3. Step 3: Cross multiply
    134,906x = 202,371 × 202,371
  4. Step 4: Simplify right side
    134,906x = 40,954,021,641
  5. Step 5: Solve for x
    x = 40,954,021,641/134,906
  6. Step 6: Final answer
    x = 303,574.50

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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.