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Finding the Third Proportional to 76,417.17 and 167,596.59

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Solution

The third proportional to 76,417.17 and 167,596.59 is: 367,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,417.17 : 167,596.59 = 167,596.59 : x
  2. Step 2: Convert to fraction form
    76,417.17/167,596.59 = 167,596.59/x
  3. Step 3: Cross multiply
    76,417.17x = 167,596.59 × 167,596.59
  4. Step 4: Simplify right side
    76,417.17x = 28,088,618,236.60
  5. Step 5: Solve for x
    x = 28,088,618,236.60/76,417.17
  6. Step 6: Final answer
    x = 367,569.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.