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Finding the Third Proportional to 240,800.72 and 354,218.63

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Solution

The third proportional to 240,800.72 and 354,218.63 is: 521,056.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,800.72 : 354,218.63 = 354,218.63 : x
  2. Step 2: Convert to fraction form
    240,800.72/354,218.63 = 354,218.63/x
  3. Step 3: Cross multiply
    240,800.72x = 354,218.63 × 354,218.63
  4. Step 4: Simplify right side
    240,800.72x = 125,470,834,296.89
  5. Step 5: Solve for x
    x = 125,470,834,296.89/240,800.72
  6. Step 6: Final answer
    x = 521,056.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.