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Finding the Third Proportional to 231,363 and 469,165.50

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Solution

The third proportional to 231,363 and 469,165.50 is: 951,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,363 : 469,165.50 = 469,165.50 : x
  2. Step 2: Convert to fraction form
    231,363/469,165.50 = 469,165.50/x
  3. Step 3: Cross multiply
    231,363x = 469,165.50 × 469,165.50
  4. Step 4: Simplify right side
    231,363x = 220,116,266,390.25
  5. Step 5: Solve for x
    x = 220,116,266,390.25/231,363
  6. Step 6: Final answer
    x = 951,389.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.