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Finding the Third Proportional to 243,369 and 363,024

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Solution

The third proportional to 243,369 and 363,024 is: 541,508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,369 : 363,024 = 363,024 : x
  2. Step 2: Convert to fraction form
    243,369/363,024 = 363,024/x
  3. Step 3: Cross multiply
    243,369x = 363,024 × 363,024
  4. Step 4: Simplify right side
    243,369x = 131,786,424,576
  5. Step 5: Solve for x
    x = 131,786,424,576/243,369
  6. Step 6: Final answer
    x = 541,508.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.