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Finding the Third Proportional to 179,210 and 264,729

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Solution

The third proportional to 179,210 and 264,729 is: 391,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,210 : 264,729 = 264,729 : x
  2. Step 2: Convert to fraction form
    179,210/264,729 = 264,729/x
  3. Step 3: Cross multiply
    179,210x = 264,729 × 264,729
  4. Step 4: Simplify right side
    179,210x = 70,081,443,441
  5. Step 5: Solve for x
    x = 70,081,443,441/179,210
  6. Step 6: Final answer
    x = 391,057.66

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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.