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Finding the Third Proportional to 147,161.18 and 311,852.53

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Solution

The third proportional to 147,161.18 and 311,852.53 is: 660,853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,161.18 : 311,852.53 = 311,852.53 : x
  2. Step 2: Convert to fraction form
    147,161.18/311,852.53 = 311,852.53/x
  3. Step 3: Cross multiply
    147,161.18x = 311,852.53 × 311,852.53
  4. Step 4: Simplify right side
    147,161.18x = 97,252,001,247.03
  5. Step 5: Solve for x
    x = 97,252,001,247.03/147,161.18
  6. Step 6: Final answer
    x = 660,853.64

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.