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Finding the Third Proportional to 165,483 and 233,964

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Solution

The third proportional to 165,483 and 233,964 is: 330,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,483 : 233,964 = 233,964 : x
  2. Step 2: Convert to fraction form
    165,483/233,964 = 233,964/x
  3. Step 3: Cross multiply
    165,483x = 233,964 × 233,964
  4. Step 4: Simplify right side
    165,483x = 54,739,153,296
  5. Step 5: Solve for x
    x = 54,739,153,296/165,483
  6. Step 6: Final answer
    x = 330,784.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.