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Finding the Third Proportional to 184,579 and 289,171.50

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Solution

The third proportional to 184,579 and 289,171.50 is: 453,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,579 : 289,171.50 = 289,171.50 : x
  2. Step 2: Convert to fraction form
    184,579/289,171.50 = 289,171.50/x
  3. Step 3: Cross multiply
    184,579x = 289,171.50 × 289,171.50
  4. Step 4: Simplify right side
    184,579x = 83,620,156,412.25
  5. Step 5: Solve for x
    x = 83,620,156,412.25/184,579
  6. Step 6: Final answer
    x = 453,031.80

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.