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Finding the Third Proportional to 210,404 and 295,948

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Solution

The third proportional to 210,404 and 295,948 is: 416,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,404 : 295,948 = 295,948 : x
  2. Step 2: Convert to fraction form
    210,404/295,948 = 295,948/x
  3. Step 3: Cross multiply
    210,404x = 295,948 × 295,948
  4. Step 4: Simplify right side
    210,404x = 87,585,218,704
  5. Step 5: Solve for x
    x = 87,585,218,704/210,404
  6. Step 6: Final answer
    x = 416,271.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.