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Finding the Third Proportional to 147,833 and 317,806

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Solution

The third proportional to 147,833 and 317,806 is: 683,207.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,833 : 317,806 = 317,806 : x
  2. Step 2: Convert to fraction form
    147,833/317,806 = 317,806/x
  3. Step 3: Cross multiply
    147,833x = 317,806 × 317,806
  4. Step 4: Simplify right side
    147,833x = 101,000,653,636
  5. Step 5: Solve for x
    x = 101,000,653,636/147,833
  6. Step 6: Final answer
    x = 683,207.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.