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Finding the Third Proportional to 101,569 and 216,260

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Solution

The third proportional to 101,569 and 216,260 is: 460,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,569 : 216,260 = 216,260 : x
  2. Step 2: Convert to fraction form
    101,569/216,260 = 216,260/x
  3. Step 3: Cross multiply
    101,569x = 216,260 × 216,260
  4. Step 4: Simplify right side
    101,569x = 46,768,387,600
  5. Step 5: Solve for x
    x = 46,768,387,600/101,569
  6. Step 6: Final answer
    x = 460,459.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.