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Finding the Third Proportional to 249,887.25 and 356,141.25

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Solution

The third proportional to 249,887.25 and 356,141.25 is: 507,575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,887.25 : 356,141.25 = 356,141.25 : x
  2. Step 2: Convert to fraction form
    249,887.25/356,141.25 = 356,141.25/x
  3. Step 3: Cross multiply
    249,887.25x = 356,141.25 × 356,141.25
  4. Step 4: Simplify right side
    249,887.25x = 126,836,589,951.56
  5. Step 5: Solve for x
    x = 126,836,589,951.56/249,887.25
  6. Step 6: Final answer
    x = 507,575.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.