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Finding the Third Proportional to 147,100 and 317,524

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Solution

The third proportional to 147,100 and 317,524 is: 685,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,100 : 317,524 = 317,524 : x
  2. Step 2: Convert to fraction form
    147,100/317,524 = 317,524/x
  3. Step 3: Cross multiply
    147,100x = 317,524 × 317,524
  4. Step 4: Simplify right side
    147,100x = 100,821,490,576
  5. Step 5: Solve for x
    x = 100,821,490,576/147,100
  6. Step 6: Final answer
    x = 685,394.23

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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.