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Finding the Third Proportional to 160,944 and 348,766.50

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Solution

The third proportional to 160,944 and 348,766.50 is: 755,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,944 : 348,766.50 = 348,766.50 : x
  2. Step 2: Convert to fraction form
    160,944/348,766.50 = 348,766.50/x
  3. Step 3: Cross multiply
    160,944x = 348,766.50 × 348,766.50
  4. Step 4: Simplify right side
    160,944x = 121,638,071,522.25
  5. Step 5: Solve for x
    x = 121,638,071,522.25/160,944
  6. Step 6: Final answer
    x = 755,778.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.