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Finding the Third Proportional to 76,455.19 and 165,510.38

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Solution

The third proportional to 76,455.19 and 165,510.38 is: 358,297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,455.19 : 165,510.38 = 165,510.38 : x
  2. Step 2: Convert to fraction form
    76,455.19/165,510.38 = 165,510.38/x
  3. Step 3: Cross multiply
    76,455.19x = 165,510.38 × 165,510.38
  4. Step 4: Simplify right side
    76,455.19x = 27,393,684,232.64
  5. Step 5: Solve for x
    x = 27,393,684,232.64/76,455.19
  6. Step 6: Final answer
    x = 358,297.26

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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.