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Finding the Third Proportional to 233,970 and 355,880

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Solution

The third proportional to 233,970 and 355,880 is: 541,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,970 : 355,880 = 355,880 : x
  2. Step 2: Convert to fraction form
    233,970/355,880 = 355,880/x
  3. Step 3: Cross multiply
    233,970x = 355,880 × 355,880
  4. Step 4: Simplify right side
    233,970x = 126,650,574,400
  5. Step 5: Solve for x
    x = 126,650,574,400/233,970
  6. Step 6: Final answer
    x = 541,311.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.