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Finding the Third Proportional to 147,202 and 317,718

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Solution

The third proportional to 147,202 and 317,718 is: 685,756.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,202 : 317,718 = 317,718 : x
  2. Step 2: Convert to fraction form
    147,202/317,718 = 317,718/x
  3. Step 3: Cross multiply
    147,202x = 317,718 × 317,718
  4. Step 4: Simplify right side
    147,202x = 100,944,727,524
  5. Step 5: Solve for x
    x = 100,944,727,524/147,202
  6. Step 6: Final answer
    x = 685,756.49

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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.