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Finding the Third Proportional to 202,076 and 440,134

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Solution

The third proportional to 202,076 and 440,134 is: 958,639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,076 : 440,134 = 440,134 : x
  2. Step 2: Convert to fraction form
    202,076/440,134 = 440,134/x
  3. Step 3: Cross multiply
    202,076x = 440,134 × 440,134
  4. Step 4: Simplify right side
    202,076x = 193,717,937,956
  5. Step 5: Solve for x
    x = 193,717,937,956/202,076
  6. Step 6: Final answer
    x = 958,639.02

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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.