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Finding the Third Proportional to 127,429.31 and 202,444.31

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Solution

The third proportional to 127,429.31 and 202,444.31 is: 321,619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,429.31 : 202,444.31 = 202,444.31 : x
  2. Step 2: Convert to fraction form
    127,429.31/202,444.31 = 202,444.31/x
  3. Step 3: Cross multiply
    127,429.31x = 202,444.31 × 202,444.31
  4. Step 4: Simplify right side
    127,429.31x = 40,983,699,663.60
  5. Step 5: Solve for x
    x = 40,983,699,663.60/127,429.31
  6. Step 6: Final answer
    x = 321,619.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.