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Finding the Third Proportional to 128,970 and 284,094

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Solution

The third proportional to 128,970 and 284,094 is: 625,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,970 : 284,094 = 284,094 : x
  2. Step 2: Convert to fraction form
    128,970/284,094 = 284,094/x
  3. Step 3: Cross multiply
    128,970x = 284,094 × 284,094
  4. Step 4: Simplify right side
    128,970x = 80,709,400,836
  5. Step 5: Solve for x
    x = 80,709,400,836/128,970
  6. Step 6: Final answer
    x = 625,799.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.