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Finding the Third Proportional to 169,413 and 225,854

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Solution

The third proportional to 169,413 and 225,854 is: 301,098.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,413 : 225,854 = 225,854 : x
  2. Step 2: Convert to fraction form
    169,413/225,854 = 225,854/x
  3. Step 3: Cross multiply
    169,413x = 225,854 × 225,854
  4. Step 4: Simplify right side
    169,413x = 51,010,029,316
  5. Step 5: Solve for x
    x = 51,010,029,316/169,413
  6. Step 6: Final answer
    x = 301,098.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.