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Finding the Third Proportional to 165,964 and 238,578

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Solution

The third proportional to 165,964 and 238,578 is: 342,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,964 : 238,578 = 238,578 : x
  2. Step 2: Convert to fraction form
    165,964/238,578 = 238,578/x
  3. Step 3: Cross multiply
    165,964x = 238,578 × 238,578
  4. Step 4: Simplify right side
    165,964x = 56,919,462,084
  5. Step 5: Solve for x
    x = 56,919,462,084/165,964
  6. Step 6: Final answer
    x = 342,962.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.