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Finding the Third Proportional to 203,131 and 432,506

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Solution

The third proportional to 203,131 and 432,506 is: 920,890.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,131 : 432,506 = 432,506 : x
  2. Step 2: Convert to fraction form
    203,131/432,506 = 432,506/x
  3. Step 3: Cross multiply
    203,131x = 432,506 × 432,506
  4. Step 4: Simplify right side
    203,131x = 187,061,440,036
  5. Step 5: Solve for x
    x = 187,061,440,036/203,131
  6. Step 6: Final answer
    x = 920,890.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.