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Finding the Third Proportional to 119,403 and 251,094

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Solution

The third proportional to 119,403 and 251,094 is: 528,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,403 : 251,094 = 251,094 : x
  2. Step 2: Convert to fraction form
    119,403/251,094 = 251,094/x
  3. Step 3: Cross multiply
    119,403x = 251,094 × 251,094
  4. Step 4: Simplify right side
    119,403x = 63,048,196,836
  5. Step 5: Solve for x
    x = 63,048,196,836/119,403
  6. Step 6: Final answer
    x = 528,028.58

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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.