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Finding the Third Proportional to 179,925.38 and 384,765

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Solution

The third proportional to 179,925.38 and 384,765 is: 822,808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,925.38 : 384,765 = 384,765 : x
  2. Step 2: Convert to fraction form
    179,925.38/384,765 = 384,765/x
  3. Step 3: Cross multiply
    179,925.38x = 384,765 × 384,765
  4. Step 4: Simplify right side
    179,925.38x = 148,044,105,225
  5. Step 5: Solve for x
    x = 148,044,105,225/179,925.38
  6. Step 6: Final answer
    x = 822,808.37

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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.