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Finding the Third Proportional to 156,480 and 222,960

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Solution

The third proportional to 156,480 and 222,960 is: 317,683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,480 : 222,960 = 222,960 : x
  2. Step 2: Convert to fraction form
    156,480/222,960 = 222,960/x
  3. Step 3: Cross multiply
    156,480x = 222,960 × 222,960
  4. Step 4: Simplify right side
    156,480x = 49,711,161,600
  5. Step 5: Solve for x
    x = 49,711,161,600/156,480
  6. Step 6: Final answer
    x = 317,683.80

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.