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Finding the Third Proportional to 69,649.50 and 152,652

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Solution

The third proportional to 69,649.50 and 152,652 is: 334,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,649.50 : 152,652 = 152,652 : x
  2. Step 2: Convert to fraction form
    69,649.50/152,652 = 152,652/x
  3. Step 3: Cross multiply
    69,649.50x = 152,652 × 152,652
  4. Step 4: Simplify right side
    69,649.50x = 23,302,633,104
  5. Step 5: Solve for x
    x = 23,302,633,104/69,649.50
  6. Step 6: Final answer
    x = 334,570.00

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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.