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Finding the Third Proportional to 149,719.50 and 328,143.50

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Solution

The third proportional to 149,719.50 and 328,143.50 is: 719,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,719.50 : 328,143.50 = 328,143.50 : x
  2. Step 2: Convert to fraction form
    149,719.50/328,143.50 = 328,143.50/x
  3. Step 3: Cross multiply
    149,719.50x = 328,143.50 × 328,143.50
  4. Step 4: Simplify right side
    149,719.50x = 107,678,156,592.25
  5. Step 5: Solve for x
    x = 107,678,156,592.25/149,719.50
  6. Step 6: Final answer
    x = 719,199.28

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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.