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Finding the Third Proportional to 355,114.48 and 533,081.81

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Solution

The third proportional to 355,114.48 and 533,081.81 is: 800,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,114.48 : 533,081.81 = 533,081.81 : x
  2. Step 2: Convert to fraction form
    355,114.48/533,081.81 = 533,081.81/x
  3. Step 3: Cross multiply
    355,114.48x = 533,081.81 × 533,081.81
  4. Step 4: Simplify right side
    355,114.48x = 284,176,218,818.29
  5. Step 5: Solve for x
    x = 284,176,218,818.29/355,114.48
  6. Step 6: Final answer
    x = 800,238.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.