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Finding the Third Proportional to 169,985 and 250,030

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Solution

The third proportional to 169,985 and 250,030 is: 367,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,985 : 250,030 = 250,030 : x
  2. Step 2: Convert to fraction form
    169,985/250,030 = 250,030/x
  3. Step 3: Cross multiply
    169,985x = 250,030 × 250,030
  4. Step 4: Simplify right side
    169,985x = 62,515,000,900
  5. Step 5: Solve for x
    x = 62,515,000,900/169,985
  6. Step 6: Final answer
    x = 367,767.75

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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.