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Finding the Third Proportional to 184,426.50 and 283,606.50

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Solution

The third proportional to 184,426.50 and 283,606.50 is: 436,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,426.50 : 283,606.50 = 283,606.50 : x
  2. Step 2: Convert to fraction form
    184,426.50/283,606.50 = 283,606.50/x
  3. Step 3: Cross multiply
    184,426.50x = 283,606.50 × 283,606.50
  4. Step 4: Simplify right side
    184,426.50x = 80,432,646,842.25
  5. Step 5: Solve for x
    x = 80,432,646,842.25/184,426.50
  6. Step 6: Final answer
    x = 436,123.05

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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.