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Finding the Third Proportional to 119,000 and 250,271

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Solution

The third proportional to 119,000 and 250,271 is: 526,349.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,000 : 250,271 = 250,271 : x
  2. Step 2: Convert to fraction form
    119,000/250,271 = 250,271/x
  3. Step 3: Cross multiply
    119,000x = 250,271 × 250,271
  4. Step 4: Simplify right side
    119,000x = 62,635,573,441
  5. Step 5: Solve for x
    x = 62,635,573,441/119,000
  6. Step 6: Final answer
    x = 526,349.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.