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Finding the Third Proportional to 116,347.50 and 177,905.25

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Solution

The third proportional to 116,347.50 and 177,905.25 is: 272,032.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,347.50 : 177,905.25 = 177,905.25 : x
  2. Step 2: Convert to fraction form
    116,347.50/177,905.25 = 177,905.25/x
  3. Step 3: Cross multiply
    116,347.50x = 177,905.25 × 177,905.25
  4. Step 4: Simplify right side
    116,347.50x = 31,650,277,977.56
  5. Step 5: Solve for x
    x = 31,650,277,977.56/116,347.50
  6. Step 6: Final answer
    x = 272,032.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.