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Finding the Third Proportional to 163,635.75 and 353,110.50

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Solution

The third proportional to 163,635.75 and 353,110.50 is: 761,979.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,635.75 : 353,110.50 = 353,110.50 : x
  2. Step 2: Convert to fraction form
    163,635.75/353,110.50 = 353,110.50/x
  3. Step 3: Cross multiply
    163,635.75x = 353,110.50 × 353,110.50
  4. Step 4: Simplify right side
    163,635.75x = 124,687,025,210.25
  5. Step 5: Solve for x
    x = 124,687,025,210.25/163,635.75
  6. Step 6: Final answer
    x = 761,979.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.