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Finding the Third Proportional to 158,765 and 339,365

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Solution

The third proportional to 158,765 and 339,365 is: 725,402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,765 : 339,365 = 339,365 : x
  2. Step 2: Convert to fraction form
    158,765/339,365 = 339,365/x
  3. Step 3: Cross multiply
    158,765x = 339,365 × 339,365
  4. Step 4: Simplify right side
    158,765x = 115,168,603,225
  5. Step 5: Solve for x
    x = 115,168,603,225/158,765
  6. Step 6: Final answer
    x = 725,402.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.