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Finding the Third Proportional to 227,767.50 and 333,369

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Solution

The third proportional to 227,767.50 and 333,369 is: 487,931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,767.50 : 333,369 = 333,369 : x
  2. Step 2: Convert to fraction form
    227,767.50/333,369 = 333,369/x
  3. Step 3: Cross multiply
    227,767.50x = 333,369 × 333,369
  4. Step 4: Simplify right side
    227,767.50x = 111,134,890,161
  5. Step 5: Solve for x
    x = 111,134,890,161/227,767.50
  6. Step 6: Final answer
    x = 487,931.29

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.