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Finding the Third Proportional to 145,649.81 and 311,539.08

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Solution

The third proportional to 145,649.81 and 311,539.08 is: 666,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,649.81 : 311,539.08 = 311,539.08 : x
  2. Step 2: Convert to fraction form
    145,649.81/311,539.08 = 311,539.08/x
  3. Step 3: Cross multiply
    145,649.81x = 311,539.08 × 311,539.08
  4. Step 4: Simplify right side
    145,649.81x = 97,056,597,198.97
  5. Step 5: Solve for x
    x = 97,056,597,198.97/145,649.81
  6. Step 6: Final answer
    x = 666,369.53

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.