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Finding the Third Proportional to 186,049 and 297,025.50

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Solution

The third proportional to 186,049 and 297,025.50 is: 474,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,049 : 297,025.50 = 297,025.50 : x
  2. Step 2: Convert to fraction form
    186,049/297,025.50 = 297,025.50/x
  3. Step 3: Cross multiply
    186,049x = 297,025.50 × 297,025.50
  4. Step 4: Simplify right side
    186,049x = 88,224,147,650.25
  5. Step 5: Solve for x
    x = 88,224,147,650.25/186,049
  6. Step 6: Final answer
    x = 474,198.45

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.