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Finding the Third Proportional to 158,915 and 235,623

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Solution

The third proportional to 158,915 and 235,623 is: 349,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,915 : 235,623 = 235,623 : x
  2. Step 2: Convert to fraction form
    158,915/235,623 = 235,623/x
  3. Step 3: Cross multiply
    158,915x = 235,623 × 235,623
  4. Step 4: Simplify right side
    158,915x = 55,518,198,129
  5. Step 5: Solve for x
    x = 55,518,198,129/158,915
  6. Step 6: Final answer
    x = 349,357.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.