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Finding the Third Proportional to 127,283.63 and 251,355.38

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Solution

The third proportional to 127,283.63 and 251,355.38 is: 496,368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,283.63 : 251,355.38 = 251,355.38 : x
  2. Step 2: Convert to fraction form
    127,283.63/251,355.38 = 251,355.38/x
  3. Step 3: Cross multiply
    127,283.63x = 251,355.38 × 251,355.38
  4. Step 4: Simplify right side
    127,283.63x = 63,179,524,541.39
  5. Step 5: Solve for x
    x = 63,179,524,541.39/127,283.63
  6. Step 6: Final answer
    x = 496,368.05

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.