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Finding the Third Proportional to 147,795 and 317,765

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Solution

The third proportional to 147,795 and 317,765 is: 683,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,795 : 317,765 = 317,765 : x
  2. Step 2: Convert to fraction form
    147,795/317,765 = 317,765/x
  3. Step 3: Cross multiply
    147,795x = 317,765 × 317,765
  4. Step 4: Simplify right side
    147,795x = 100,974,595,225
  5. Step 5: Solve for x
    x = 100,974,595,225/147,795
  6. Step 6: Final answer
    x = 683,207.11

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