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Finding the Third Proportional to 165,582 and 262,306

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Solution

The third proportional to 165,582 and 262,306 is: 415,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,582 : 262,306 = 262,306 : x
  2. Step 2: Convert to fraction form
    165,582/262,306 = 262,306/x
  3. Step 3: Cross multiply
    165,582x = 262,306 × 262,306
  4. Step 4: Simplify right side
    165,582x = 68,804,437,636
  5. Step 5: Solve for x
    x = 68,804,437,636/165,582
  6. Step 6: Final answer
    x = 415,530.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.