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Finding the Third Proportional to 201,076 and 441,896

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Solution

The third proportional to 201,076 and 441,896 is: 971,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,076 : 441,896 = 441,896 : x
  2. Step 2: Convert to fraction form
    201,076/441,896 = 441,896/x
  3. Step 3: Cross multiply
    201,076x = 441,896 × 441,896
  4. Step 4: Simplify right side
    201,076x = 195,272,074,816
  5. Step 5: Solve for x
    x = 195,272,074,816/201,076
  6. Step 6: Final answer
    x = 971,135.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.