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Finding the Third Proportional to 147,690 and 320,084

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Solution

The third proportional to 147,690 and 320,084 is: 693,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,690 : 320,084 = 320,084 : x
  2. Step 2: Convert to fraction form
    147,690/320,084 = 320,084/x
  3. Step 3: Cross multiply
    147,690x = 320,084 × 320,084
  4. Step 4: Simplify right side
    147,690x = 102,453,767,056
  5. Step 5: Solve for x
    x = 102,453,767,056/147,690
  6. Step 6: Final answer
    x = 693,708.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.