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Finding the Third Proportional to 147,446 and 314,197

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Solution

The third proportional to 147,446 and 314,197 is: 669,531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,446 : 314,197 = 314,197 : x
  2. Step 2: Convert to fraction form
    147,446/314,197 = 314,197/x
  3. Step 3: Cross multiply
    147,446x = 314,197 × 314,197
  4. Step 4: Simplify right side
    147,446x = 98,719,754,809
  5. Step 5: Solve for x
    x = 98,719,754,809/147,446
  6. Step 6: Final answer
    x = 669,531.59

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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.