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Finding the Third Proportional to 147,790 and 317,754

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Solution

The third proportional to 147,790 and 317,754 is: 683,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,790 : 317,754 = 317,754 : x
  2. Step 2: Convert to fraction form
    147,790/317,754 = 317,754/x
  3. Step 3: Cross multiply
    147,790x = 317,754 × 317,754
  4. Step 4: Simplify right side
    147,790x = 100,967,604,516
  5. Step 5: Solve for x
    x = 100,967,604,516/147,790
  6. Step 6: Final answer
    x = 683,182.93

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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.