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Finding the Third Proportional to 147,161 and 317,843

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Solution

The third proportional to 147,161 and 317,843 is: 686,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,161 : 317,843 = 317,843 : x
  2. Step 2: Convert to fraction form
    147,161/317,843 = 317,843/x
  3. Step 3: Cross multiply
    147,161x = 317,843 × 317,843
  4. Step 4: Simplify right side
    147,161x = 101,024,172,649
  5. Step 5: Solve for x
    x = 101,024,172,649/147,161
  6. Step 6: Final answer
    x = 686,487.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.