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Finding the Third Proportional to 153,456 and 317,568

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Solution

The third proportional to 153,456 and 317,568 is: 657,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,456 : 317,568 = 317,568 : x
  2. Step 2: Convert to fraction form
    153,456/317,568 = 317,568/x
  3. Step 3: Cross multiply
    153,456x = 317,568 × 317,568
  4. Step 4: Simplify right side
    153,456x = 100,849,434,624
  5. Step 5: Solve for x
    x = 100,849,434,624/153,456
  6. Step 6: Final answer
    x = 657,187.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.