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Finding the Third Proportional to 210,250 and 326,448

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Solution

The third proportional to 210,250 and 326,448 is: 506,864.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,250 : 326,448 = 326,448 : x
  2. Step 2: Convert to fraction form
    210,250/326,448 = 326,448/x
  3. Step 3: Cross multiply
    210,250x = 326,448 × 326,448
  4. Step 4: Simplify right side
    210,250x = 106,568,296,704
  5. Step 5: Solve for x
    x = 106,568,296,704/210,250
  6. Step 6: Final answer
    x = 506,864.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.