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Finding the Third Proportional to 184,388.59 and 284,772.74

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Solution

The third proportional to 184,388.59 and 284,772.74 is: 439,807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,388.59 : 284,772.74 = 284,772.74 : x
  2. Step 2: Convert to fraction form
    184,388.59/284,772.74 = 284,772.74/x
  3. Step 3: Cross multiply
    184,388.59x = 284,772.74 × 284,772.74
  4. Step 4: Simplify right side
    184,388.59x = 81,095,515,805.38
  5. Step 5: Solve for x
    x = 81,095,515,805.38/184,388.59
  6. Step 6: Final answer
    x = 439,807.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.