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Finding the Third Proportional to 342,154 and 500,229

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Solution

The third proportional to 342,154 and 500,229 is: 731,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,154 : 500,229 = 500,229 : x
  2. Step 2: Convert to fraction form
    342,154/500,229 = 500,229/x
  3. Step 3: Cross multiply
    342,154x = 500,229 × 500,229
  4. Step 4: Simplify right side
    342,154x = 250,229,052,441
  5. Step 5: Solve for x
    x = 250,229,052,441/342,154
  6. Step 6: Final answer
    x = 731,334.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.