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Finding the Third Proportional to 164,068.88 and 267,905.81

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Solution

The third proportional to 164,068.88 and 267,905.81 is: 437,459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,068.88 : 267,905.81 = 267,905.81 : x
  2. Step 2: Convert to fraction form
    164,068.88/267,905.81 = 267,905.81/x
  3. Step 3: Cross multiply
    164,068.88x = 267,905.81 × 267,905.81
  4. Step 4: Simplify right side
    164,068.88x = 71,773,524,371.29
  5. Step 5: Solve for x
    x = 71,773,524,371.29/164,068.88
  6. Step 6: Final answer
    x = 437,459.72

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.