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Finding the Third Proportional to 179,506 and 364,900

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Solution

The third proportional to 179,506 and 364,900 is: 741,769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,506 : 364,900 = 364,900 : x
  2. Step 2: Convert to fraction form
    179,506/364,900 = 364,900/x
  3. Step 3: Cross multiply
    179,506x = 364,900 × 364,900
  4. Step 4: Simplify right side
    179,506x = 133,152,010,000
  5. Step 5: Solve for x
    x = 133,152,010,000/179,506
  6. Step 6: Final answer
    x = 741,769.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.