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Finding the Third Proportional to 164,304 and 234,792

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Solution

The third proportional to 164,304 and 234,792 is: 335,520.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,304 : 234,792 = 234,792 : x
  2. Step 2: Convert to fraction form
    164,304/234,792 = 234,792/x
  3. Step 3: Cross multiply
    164,304x = 234,792 × 234,792
  4. Step 4: Simplify right side
    164,304x = 55,127,283,264
  5. Step 5: Solve for x
    x = 55,127,283,264/164,304
  6. Step 6: Final answer
    x = 335,520.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.