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Finding the Third Proportional to 183,291.47 and 383,341.78

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Solution

The third proportional to 183,291.47 and 383,341.78 is: 801,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,291.47 : 383,341.78 = 383,341.78 : x
  2. Step 2: Convert to fraction form
    183,291.47/383,341.78 = 383,341.78/x
  3. Step 3: Cross multiply
    183,291.47x = 383,341.78 × 383,341.78
  4. Step 4: Simplify right side
    183,291.47x = 146,950,921,251.92
  5. Step 5: Solve for x
    x = 146,950,921,251.92/183,291.47
  6. Step 6: Final answer
    x = 801,733.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.