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Finding the Third Proportional to 127,931.25 and 202,427.25

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Solution

The third proportional to 127,931.25 and 202,427.25 is: 320,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,931.25 : 202,427.25 = 202,427.25 : x
  2. Step 2: Convert to fraction form
    127,931.25/202,427.25 = 202,427.25/x
  3. Step 3: Cross multiply
    127,931.25x = 202,427.25 × 202,427.25
  4. Step 4: Simplify right side
    127,931.25x = 40,976,791,542.56
  5. Step 5: Solve for x
    x = 40,976,791,542.56/127,931.25
  6. Step 6: Final answer
    x = 320,303.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.