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Finding the Third Proportional to 163,784 and 344,088

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Solution

The third proportional to 163,784 and 344,088 is: 722,882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,784 : 344,088 = 344,088 : x
  2. Step 2: Convert to fraction form
    163,784/344,088 = 344,088/x
  3. Step 3: Cross multiply
    163,784x = 344,088 × 344,088
  4. Step 4: Simplify right side
    163,784x = 118,396,551,744
  5. Step 5: Solve for x
    x = 118,396,551,744/163,784
  6. Step 6: Final answer
    x = 722,882.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.