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Finding the Third Proportional to 158,625 and 242,964

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Solution

The third proportional to 158,625 and 242,964 is: 372,145.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,625 : 242,964 = 242,964 : x
  2. Step 2: Convert to fraction form
    158,625/242,964 = 242,964/x
  3. Step 3: Cross multiply
    158,625x = 242,964 × 242,964
  4. Step 4: Simplify right side
    158,625x = 59,031,505,296
  5. Step 5: Solve for x
    x = 59,031,505,296/158,625
  6. Step 6: Final answer
    x = 372,145.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.