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Finding the Third Proportional to 68,334 and 149,828

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Solution

The third proportional to 68,334 and 149,828 is: 328,510.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,334 : 149,828 = 149,828 : x
  2. Step 2: Convert to fraction form
    68,334/149,828 = 149,828/x
  3. Step 3: Cross multiply
    68,334x = 149,828 × 149,828
  4. Step 4: Simplify right side
    68,334x = 22,448,429,584
  5. Step 5: Solve for x
    x = 22,448,429,584/68,334
  6. Step 6: Final answer
    x = 328,510.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.