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Finding the Third Proportional to 179,918.72 and 384,748.73

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Solution

The third proportional to 179,918.72 and 384,748.73 is: 822,769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,918.72 : 384,748.73 = 384,748.73 : x
  2. Step 2: Convert to fraction form
    179,918.72/384,748.73 = 384,748.73/x
  3. Step 3: Cross multiply
    179,918.72x = 384,748.73 × 384,748.73
  4. Step 4: Simplify right side
    179,918.72x = 148,031,588,603.16
  5. Step 5: Solve for x
    x = 148,031,588,603.16/179,918.72
  6. Step 6: Final answer
    x = 822,769.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.