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Finding the Third Proportional to 239,303.50 and 522,074

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Solution

The third proportional to 239,303.50 and 522,074 is: 1,138,977.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,303.50 : 522,074 = 522,074 : x
  2. Step 2: Convert to fraction form
    239,303.50/522,074 = 522,074/x
  3. Step 3: Cross multiply
    239,303.50x = 522,074 × 522,074
  4. Step 4: Simplify right side
    239,303.50x = 272,561,261,476
  5. Step 5: Solve for x
    x = 272,561,261,476/239,303.50
  6. Step 6: Final answer
    x = 1,138,977.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.