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Finding the Third Proportional to 146,103 and 314,399

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Solution

The third proportional to 146,103 and 314,399 is: 676,555.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,103 : 314,399 = 314,399 : x
  2. Step 2: Convert to fraction form
    146,103/314,399 = 314,399/x
  3. Step 3: Cross multiply
    146,103x = 314,399 × 314,399
  4. Step 4: Simplify right side
    146,103x = 98,846,731,201
  5. Step 5: Solve for x
    x = 98,846,731,201/146,103
  6. Step 6: Final answer
    x = 676,555.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.