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Finding the Third Proportional to 169,984 and 250,014

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Solution

The third proportional to 169,984 and 250,014 is: 367,722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,984 : 250,014 = 250,014 : x
  2. Step 2: Convert to fraction form
    169,984/250,014 = 250,014/x
  3. Step 3: Cross multiply
    169,984x = 250,014 × 250,014
  4. Step 4: Simplify right side
    169,984x = 62,507,000,196
  5. Step 5: Solve for x
    x = 62,507,000,196/169,984
  6. Step 6: Final answer
    x = 367,722.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.