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Finding the Third Proportional to 127,170.63 and 279,303.82

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Solution

The third proportional to 127,170.63 and 279,303.82 is: 613,432.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,170.63 : 279,303.82 = 279,303.82 : x
  2. Step 2: Convert to fraction form
    127,170.63/279,303.82 = 279,303.82/x
  3. Step 3: Cross multiply
    127,170.63x = 279,303.82 × 279,303.82
  4. Step 4: Simplify right side
    127,170.63x = 78,010,624,041.16
  5. Step 5: Solve for x
    x = 78,010,624,041.16/127,170.63
  6. Step 6: Final answer
    x = 613,432.70

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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.