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Finding the Third Proportional to 149,632.95 and 328,342.36

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Solution

The third proportional to 149,632.95 and 328,342.36 is: 720,487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,632.95 : 328,342.36 = 328,342.36 : x
  2. Step 2: Convert to fraction form
    149,632.95/328,342.36 = 328,342.36/x
  3. Step 3: Cross multiply
    149,632.95x = 328,342.36 × 328,342.36
  4. Step 4: Simplify right side
    149,632.95x = 107,808,704,959.94
  5. Step 5: Solve for x
    x = 107,808,704,959.94/149,632.95
  6. Step 6: Final answer
    x = 720,487.76

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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.