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Finding the Third Proportional to 210,238 and 317,544

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Solution

The third proportional to 210,238 and 317,544 is: 479,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,238 : 317,544 = 317,544 : x
  2. Step 2: Convert to fraction form
    210,238/317,544 = 317,544/x
  3. Step 3: Cross multiply
    210,238x = 317,544 × 317,544
  4. Step 4: Simplify right side
    210,238x = 100,834,191,936
  5. Step 5: Solve for x
    x = 100,834,191,936/210,238
  6. Step 6: Final answer
    x = 479,619.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.