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Finding the Third Proportional to 236,454 and 331,792

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Solution

The third proportional to 236,454 and 331,792 is: 465,570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,454 : 331,792 = 331,792 : x
  2. Step 2: Convert to fraction form
    236,454/331,792 = 331,792/x
  3. Step 3: Cross multiply
    236,454x = 331,792 × 331,792
  4. Step 4: Simplify right side
    236,454x = 110,085,931,264
  5. Step 5: Solve for x
    x = 110,085,931,264/236,454
  6. Step 6: Final answer
    x = 465,570.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.