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Finding the Third Proportional to 168,489 and 253,417.50

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Solution

The third proportional to 168,489 and 253,417.50 is: 381,155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,489 : 253,417.50 = 253,417.50 : x
  2. Step 2: Convert to fraction form
    168,489/253,417.50 = 253,417.50/x
  3. Step 3: Cross multiply
    168,489x = 253,417.50 × 253,417.50
  4. Step 4: Simplify right side
    168,489x = 64,220,429,306.25
  5. Step 5: Solve for x
    x = 64,220,429,306.25/168,489
  6. Step 6: Final answer
    x = 381,155.03

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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.