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Finding the Third Proportional to 182,116.50 and 275,715.75

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Solution

The third proportional to 182,116.50 and 275,715.75 is: 417,420.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,116.50 : 275,715.75 = 275,715.75 : x
  2. Step 2: Convert to fraction form
    182,116.50/275,715.75 = 275,715.75/x
  3. Step 3: Cross multiply
    182,116.50x = 275,715.75 × 275,715.75
  4. Step 4: Simplify right side
    182,116.50x = 76,019,174,798.06
  5. Step 5: Solve for x
    x = 76,019,174,798.06/182,116.50
  6. Step 6: Final answer
    x = 417,420.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.