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Finding the Third Proportional to 242,433 and 326,115

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Solution

The third proportional to 242,433 and 326,115 is: 438,682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,433 : 326,115 = 326,115 : x
  2. Step 2: Convert to fraction form
    242,433/326,115 = 326,115/x
  3. Step 3: Cross multiply
    242,433x = 326,115 × 326,115
  4. Step 4: Simplify right side
    242,433x = 106,350,993,225
  5. Step 5: Solve for x
    x = 106,350,993,225/242,433
  6. Step 6: Final answer
    x = 438,682.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.