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Finding the Third Proportional to 76,516.13 and 166,807.50

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Solution

The third proportional to 76,516.13 and 166,807.50 is: 363,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,516.13 : 166,807.50 = 166,807.50 : x
  2. Step 2: Convert to fraction form
    76,516.13/166,807.50 = 166,807.50/x
  3. Step 3: Cross multiply
    76,516.13x = 166,807.50 × 166,807.50
  4. Step 4: Simplify right side
    76,516.13x = 27,824,742,056.25
  5. Step 5: Solve for x
    x = 27,824,742,056.25/76,516.13
  6. Step 6: Final answer
    x = 363,645.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.