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Finding the Third Proportional to 194,665 and 431,603

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Solution

The third proportional to 194,665 and 431,603 is: 956,931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,665 : 431,603 = 431,603 : x
  2. Step 2: Convert to fraction form
    194,665/431,603 = 431,603/x
  3. Step 3: Cross multiply
    194,665x = 431,603 × 431,603
  4. Step 4: Simplify right side
    194,665x = 186,281,149,609
  5. Step 5: Solve for x
    x = 186,281,149,609/194,665
  6. Step 6: Final answer
    x = 956,931.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.