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Finding the Third Proportional to 147,818 and 335,096.50

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Solution

The third proportional to 147,818 and 335,096.50 is: 759,648.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,818 : 335,096.50 = 335,096.50 : x
  2. Step 2: Convert to fraction form
    147,818/335,096.50 = 335,096.50/x
  3. Step 3: Cross multiply
    147,818x = 335,096.50 × 335,096.50
  4. Step 4: Simplify right side
    147,818x = 112,289,664,312.25
  5. Step 5: Solve for x
    x = 112,289,664,312.25/147,818
  6. Step 6: Final answer
    x = 759,648.11

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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.