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Finding the Third Proportional to 150,220 and 233,946

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Solution

The third proportional to 150,220 and 233,946 is: 364,337.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,220 : 233,946 = 233,946 : x
  2. Step 2: Convert to fraction form
    150,220/233,946 = 233,946/x
  3. Step 3: Cross multiply
    150,220x = 233,946 × 233,946
  4. Step 4: Simplify right side
    150,220x = 54,730,730,916
  5. Step 5: Solve for x
    x = 54,730,730,916/150,220
  6. Step 6: Final answer
    x = 364,337.18

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.