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Finding the Third Proportional to 201,324 and 425,976

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Solution

The third proportional to 201,324 and 425,976 is: 901,311.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,324 : 425,976 = 425,976 : x
  2. Step 2: Convert to fraction form
    201,324/425,976 = 425,976/x
  3. Step 3: Cross multiply
    201,324x = 425,976 × 425,976
  4. Step 4: Simplify right side
    201,324x = 181,455,552,576
  5. Step 5: Solve for x
    x = 181,455,552,576/201,324
  6. Step 6: Final answer
    x = 901,311.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.