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Finding the Third Proportional to 164,418 and 246,649.50

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Solution

The third proportional to 164,418 and 246,649.50 is: 370,008.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,418 : 246,649.50 = 246,649.50 : x
  2. Step 2: Convert to fraction form
    164,418/246,649.50 = 246,649.50/x
  3. Step 3: Cross multiply
    164,418x = 246,649.50 × 246,649.50
  4. Step 4: Simplify right side
    164,418x = 60,835,975,850.25
  5. Step 5: Solve for x
    x = 60,835,975,850.25/164,418
  6. Step 6: Final answer
    x = 370,008.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.