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Finding the Third Proportional to 117,488.81 and 248,371.31

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Solution

The third proportional to 117,488.81 and 248,371.31 is: 525,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,488.81 : 248,371.31 = 248,371.31 : x
  2. Step 2: Convert to fraction form
    117,488.81/248,371.31 = 248,371.31/x
  3. Step 3: Cross multiply
    117,488.81x = 248,371.31 × 248,371.31
  4. Step 4: Simplify right side
    117,488.81x = 61,688,308,872.97
  5. Step 5: Solve for x
    x = 61,688,308,872.97/117,488.81
  6. Step 6: Final answer
    x = 525,056.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.