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Finding the Third Proportional to 158,784 and 340,592

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Solution

The third proportional to 158,784 and 340,592 is: 730,570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,784 : 340,592 = 340,592 : x
  2. Step 2: Convert to fraction form
    158,784/340,592 = 340,592/x
  3. Step 3: Cross multiply
    158,784x = 340,592 × 340,592
  4. Step 4: Simplify right side
    158,784x = 116,002,910,464
  5. Step 5: Solve for x
    x = 116,002,910,464/158,784
  6. Step 6: Final answer
    x = 730,570.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.