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Finding the Third Proportional to 76,475.81 and 165,258.56

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Solution

The third proportional to 76,475.81 and 165,258.56 is: 357,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,475.81 : 165,258.56 = 165,258.56 : x
  2. Step 2: Convert to fraction form
    76,475.81/165,258.56 = 165,258.56/x
  3. Step 3: Cross multiply
    76,475.81x = 165,258.56 × 165,258.56
  4. Step 4: Simplify right side
    76,475.81x = 27,310,392,479.57
  5. Step 5: Solve for x
    x = 27,310,392,479.57/76,475.81
  6. Step 6: Final answer
    x = 357,111.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.