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Finding the Third Proportional to 163,632.38 and 347,072.63

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Solution

The third proportional to 163,632.38 and 347,072.63 is: 736,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,632.38 : 347,072.63 = 347,072.63 : x
  2. Step 2: Convert to fraction form
    163,632.38/347,072.63 = 347,072.63/x
  3. Step 3: Cross multiply
    163,632.38x = 347,072.63 × 347,072.63
  4. Step 4: Simplify right side
    163,632.38x = 120,459,407,024.39
  5. Step 5: Solve for x
    x = 120,459,407,024.39/163,632.38
  6. Step 6: Final answer
    x = 736,158.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.