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Finding the Third Proportional to 230,925.94 and 345,459.94

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Solution

The third proportional to 230,925.94 and 345,459.94 is: 516,800.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,925.94 : 345,459.94 = 345,459.94 : x
  2. Step 2: Convert to fraction form
    230,925.94/345,459.94 = 345,459.94/x
  3. Step 3: Cross multiply
    230,925.94x = 345,459.94 × 345,459.94
  4. Step 4: Simplify right side
    230,925.94x = 119,342,568,417.50
  5. Step 5: Solve for x
    x = 119,342,568,417.50/230,925.94
  6. Step 6: Final answer
    x = 516,800.19

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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.