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Finding the Third Proportional to 150,988.50 and 352,631.25

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Solution

The third proportional to 150,988.50 and 352,631.25 is: 823,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,988.50 : 352,631.25 = 352,631.25 : x
  2. Step 2: Convert to fraction form
    150,988.50/352,631.25 = 352,631.25/x
  3. Step 3: Cross multiply
    150,988.50x = 352,631.25 × 352,631.25
  4. Step 4: Simplify right side
    150,988.50x = 124,348,798,476.56
  5. Step 5: Solve for x
    x = 124,348,798,476.56/150,988.50
  6. Step 6: Final answer
    x = 823,564.70

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.