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Finding the Third Proportional to 69,225 and 151,264.50

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Solution

The third proportional to 69,225 and 151,264.50 is: 330,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,225 : 151,264.50 = 151,264.50 : x
  2. Step 2: Convert to fraction form
    69,225/151,264.50 = 151,264.50/x
  3. Step 3: Cross multiply
    69,225x = 151,264.50 × 151,264.50
  4. Step 4: Simplify right side
    69,225x = 22,880,948,960.25
  5. Step 5: Solve for x
    x = 22,880,948,960.25/69,225
  6. Step 6: Final answer
    x = 330,530.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.