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Finding the Third Proportional to 149,850 and 313,470

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Solution

The third proportional to 149,850 and 313,470 is: 655,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,850 : 313,470 = 313,470 : x
  2. Step 2: Convert to fraction form
    149,850/313,470 = 313,470/x
  3. Step 3: Cross multiply
    149,850x = 313,470 × 313,470
  4. Step 4: Simplify right side
    149,850x = 98,263,440,900
  5. Step 5: Solve for x
    x = 98,263,440,900/149,850
  6. Step 6: Final answer
    x = 655,745.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.