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Finding the Third Proportional to 165,374 and 262,827

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Solution

The third proportional to 165,374 and 262,827 is: 417,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,374 : 262,827 = 262,827 : x
  2. Step 2: Convert to fraction form
    165,374/262,827 = 262,827/x
  3. Step 3: Cross multiply
    165,374x = 262,827 × 262,827
  4. Step 4: Simplify right side
    165,374x = 69,078,031,929
  5. Step 5: Solve for x
    x = 69,078,031,929/165,374
  6. Step 6: Final answer
    x = 417,707.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.