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Finding the Third Proportional to 173,632.50 and 368,581.50

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Solution

The third proportional to 173,632.50 and 368,581.50 is: 782,412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,632.50 : 368,581.50 = 368,581.50 : x
  2. Step 2: Convert to fraction form
    173,632.50/368,581.50 = 368,581.50/x
  3. Step 3: Cross multiply
    173,632.50x = 368,581.50 × 368,581.50
  4. Step 4: Simplify right side
    173,632.50x = 135,852,322,142.25
  5. Step 5: Solve for x
    x = 135,852,322,142.25/173,632.50
  6. Step 6: Final answer
    x = 782,412.98

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