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Finding the Third Proportional to 184,412 and 375,584

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Solution

The third proportional to 184,412 and 375,584 is: 764,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,412 : 375,584 = 375,584 : x
  2. Step 2: Convert to fraction form
    184,412/375,584 = 375,584/x
  3. Step 3: Cross multiply
    184,412x = 375,584 × 375,584
  4. Step 4: Simplify right side
    184,412x = 141,063,341,056
  5. Step 5: Solve for x
    x = 141,063,341,056/184,412
  6. Step 6: Final answer
    x = 764,935.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.