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Finding the Third Proportional to 158,013 and 344,430

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Solution

The third proportional to 158,013 and 344,430 is: 750,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,013 : 344,430 = 344,430 : x
  2. Step 2: Convert to fraction form
    158,013/344,430 = 344,430/x
  3. Step 3: Cross multiply
    158,013x = 344,430 × 344,430
  4. Step 4: Simplify right side
    158,013x = 118,632,024,900
  5. Step 5: Solve for x
    x = 118,632,024,900/158,013
  6. Step 6: Final answer
    x = 750,773.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.