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Finding the Third Proportional to 147,334 and 313,892

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Solution

The third proportional to 147,334 and 313,892 is: 668,740.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,334 : 313,892 = 313,892 : x
  2. Step 2: Convert to fraction form
    147,334/313,892 = 313,892/x
  3. Step 3: Cross multiply
    147,334x = 313,892 × 313,892
  4. Step 4: Simplify right side
    147,334x = 98,528,187,664
  5. Step 5: Solve for x
    x = 98,528,187,664/147,334
  6. Step 6: Final answer
    x = 668,740.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.