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Finding the Third Proportional to 147,158 and 317,837

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Solution

The third proportional to 147,158 and 317,837 is: 686,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,158 : 317,837 = 317,837 : x
  2. Step 2: Convert to fraction form
    147,158/317,837 = 317,837/x
  3. Step 3: Cross multiply
    147,158x = 317,837 × 317,837
  4. Step 4: Simplify right side
    147,158x = 101,020,358,569
  5. Step 5: Solve for x
    x = 101,020,358,569/147,158
  6. Step 6: Final answer
    x = 686,475.48

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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.