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Finding the Third Proportional to 128,054 and 279,436

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Solution

The third proportional to 128,054 and 279,436 is: 609,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,054 : 279,436 = 279,436 : x
  2. Step 2: Convert to fraction form
    128,054/279,436 = 279,436/x
  3. Step 3: Cross multiply
    128,054x = 279,436 × 279,436
  4. Step 4: Simplify right side
    128,054x = 78,084,478,096
  5. Step 5: Solve for x
    x = 78,084,478,096/128,054
  6. Step 6: Final answer
    x = 609,777.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.