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Finding the Third Proportional to 183,856.50 and 288,900

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Solution

The third proportional to 183,856.50 and 288,900 is: 453,958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,856.50 : 288,900 = 288,900 : x
  2. Step 2: Convert to fraction form
    183,856.50/288,900 = 288,900/x
  3. Step 3: Cross multiply
    183,856.50x = 288,900 × 288,900
  4. Step 4: Simplify right side
    183,856.50x = 83,463,210,000
  5. Step 5: Solve for x
    x = 83,463,210,000/183,856.50
  6. Step 6: Final answer
    x = 453,958.44

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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.