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Finding the Third Proportional to 162,837 and 214,609.50

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Solution

The third proportional to 162,837 and 214,609.50 is: 282,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,837 : 214,609.50 = 214,609.50 : x
  2. Step 2: Convert to fraction form
    162,837/214,609.50 = 214,609.50/x
  3. Step 3: Cross multiply
    162,837x = 214,609.50 × 214,609.50
  4. Step 4: Simplify right side
    162,837x = 46,057,237,490.25
  5. Step 5: Solve for x
    x = 46,057,237,490.25/162,837
  6. Step 6: Final answer
    x = 282,842.58

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.