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Finding the Third Proportional to 116,813.25 and 177,528.94

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Solution

The third proportional to 116,813.25 and 177,528.94 is: 269,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,813.25 : 177,528.94 = 177,528.94 : x
  2. Step 2: Convert to fraction form
    116,813.25/177,528.94 = 177,528.94/x
  3. Step 3: Cross multiply
    116,813.25x = 177,528.94 × 177,528.94
  4. Step 4: Simplify right side
    116,813.25x = 31,516,523,649.88
  5. Step 5: Solve for x
    x = 31,516,523,649.88/116,813.25
  6. Step 6: Final answer
    x = 269,802.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.