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Finding the Third Proportional to 168,285.09 and 363,325.50

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Solution

The third proportional to 168,285.09 and 363,325.50 is: 784,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,285.09 : 363,325.50 = 363,325.50 : x
  2. Step 2: Convert to fraction form
    168,285.09/363,325.50 = 363,325.50/x
  3. Step 3: Cross multiply
    168,285.09x = 363,325.50 × 363,325.50
  4. Step 4: Simplify right side
    168,285.09x = 132,005,418,950.25
  5. Step 5: Solve for x
    x = 132,005,418,950.25/168,285.09
  6. Step 6: Final answer
    x = 784,415.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.