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Finding the Third Proportional to 158,013 and 293,608

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Solution

The third proportional to 158,013 and 293,608 is: 545,560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,013 : 293,608 = 293,608 : x
  2. Step 2: Convert to fraction form
    158,013/293,608 = 293,608/x
  3. Step 3: Cross multiply
    158,013x = 293,608 × 293,608
  4. Step 4: Simplify right side
    158,013x = 86,205,657,664
  5. Step 5: Solve for x
    x = 86,205,657,664/158,013
  6. Step 6: Final answer
    x = 545,560.54

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.