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Finding the Third Proportional to 164,324 and 234,822

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Solution

The third proportional to 164,324 and 234,822 is: 335,564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,324 : 234,822 = 234,822 : x
  2. Step 2: Convert to fraction form
    164,324/234,822 = 234,822/x
  3. Step 3: Cross multiply
    164,324x = 234,822 × 234,822
  4. Step 4: Simplify right side
    164,324x = 55,141,371,684
  5. Step 5: Solve for x
    x = 55,141,371,684/164,324
  6. Step 6: Final answer
    x = 335,564.93

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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.