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Finding the Third Proportional to 197,422.50 and 317,937

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Solution

The third proportional to 197,422.50 and 317,937 is: 512,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,422.50 : 317,937 = 317,937 : x
  2. Step 2: Convert to fraction form
    197,422.50/317,937 = 317,937/x
  3. Step 3: Cross multiply
    197,422.50x = 317,937 × 317,937
  4. Step 4: Simplify right side
    197,422.50x = 101,083,935,969
  5. Step 5: Solve for x
    x = 101,083,935,969/197,422.50
  6. Step 6: Final answer
    x = 512,018.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.