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Finding the Third Proportional to 230,854.50 and 346,950.75

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Solution

The third proportional to 230,854.50 and 346,950.75 is: 521,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,854.50 : 346,950.75 = 346,950.75 : x
  2. Step 2: Convert to fraction form
    230,854.50/346,950.75 = 346,950.75/x
  3. Step 3: Cross multiply
    230,854.50x = 346,950.75 × 346,950.75
  4. Step 4: Simplify right side
    230,854.50x = 120,374,822,925.56
  5. Step 5: Solve for x
    x = 120,374,822,925.56/230,854.50
  6. Step 6: Final answer
    x = 521,431.56

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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.