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Finding the Third Proportional to 134,100 and 279,222

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Solution

The third proportional to 134,100 and 279,222 is: 581,393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,100 : 279,222 = 279,222 : x
  2. Step 2: Convert to fraction form
    134,100/279,222 = 279,222/x
  3. Step 3: Cross multiply
    134,100x = 279,222 × 279,222
  4. Step 4: Simplify right side
    134,100x = 77,964,925,284
  5. Step 5: Solve for x
    x = 77,964,925,284/134,100
  6. Step 6: Final answer
    x = 581,393.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.