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Finding the Third Proportional to 161,448 and 354,733.50

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Solution

The third proportional to 161,448 and 354,733.50 is: 779,420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,448 : 354,733.50 = 354,733.50 : x
  2. Step 2: Convert to fraction form
    161,448/354,733.50 = 354,733.50/x
  3. Step 3: Cross multiply
    161,448x = 354,733.50 × 354,733.50
  4. Step 4: Simplify right side
    161,448x = 125,835,856,022.25
  5. Step 5: Solve for x
    x = 125,835,856,022.25/161,448
  6. Step 6: Final answer
    x = 779,420.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.