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Finding the Third Proportional to 134,226 and 289,471.50

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Solution

The third proportional to 134,226 and 289,471.50 is: 624,273.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,226 : 289,471.50 = 289,471.50 : x
  2. Step 2: Convert to fraction form
    134,226/289,471.50 = 289,471.50/x
  3. Step 3: Cross multiply
    134,226x = 289,471.50 × 289,471.50
  4. Step 4: Simplify right side
    134,226x = 83,793,749,312.25
  5. Step 5: Solve for x
    x = 83,793,749,312.25/134,226
  6. Step 6: Final answer
    x = 624,273.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.