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Finding the Third Proportional to 208,765 and 465,340

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Solution

The third proportional to 208,765 and 465,340 is: 1,037,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,765 : 465,340 = 465,340 : x
  2. Step 2: Convert to fraction form
    208,765/465,340 = 465,340/x
  3. Step 3: Cross multiply
    208,765x = 465,340 × 465,340
  4. Step 4: Simplify right side
    208,765x = 216,541,315,600
  5. Step 5: Solve for x
    x = 216,541,315,600/208,765
  6. Step 6: Final answer
    x = 1,037,249.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.