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Finding the Third Proportional to 288,010 and 382,177

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Solution

The third proportional to 288,010 and 382,177 is: 507,132.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,010 : 382,177 = 382,177 : x
  2. Step 2: Convert to fraction form
    288,010/382,177 = 382,177/x
  3. Step 3: Cross multiply
    288,010x = 382,177 × 382,177
  4. Step 4: Simplify right side
    288,010x = 146,059,259,329
  5. Step 5: Solve for x
    x = 146,059,259,329/288,010
  6. Step 6: Final answer
    x = 507,132.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.