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Finding the Third Proportional to 79,234 and 175,964

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Solution

The third proportional to 79,234 and 175,964 is: 390,783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,234 : 175,964 = 175,964 : x
  2. Step 2: Convert to fraction form
    79,234/175,964 = 175,964/x
  3. Step 3: Cross multiply
    79,234x = 175,964 × 175,964
  4. Step 4: Simplify right side
    79,234x = 30,963,329,296
  5. Step 5: Solve for x
    x = 30,963,329,296/79,234
  6. Step 6: Final answer
    x = 390,783.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.