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Finding the Third Proportional to 208,755 and 465,321

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Solution

The third proportional to 208,755 and 465,321 is: 1,037,214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,755 : 465,321 = 465,321 : x
  2. Step 2: Convert to fraction form
    208,755/465,321 = 465,321/x
  3. Step 3: Cross multiply
    208,755x = 465,321 × 465,321
  4. Step 4: Simplify right side
    208,755x = 216,523,633,041
  5. Step 5: Solve for x
    x = 216,523,633,041/208,755
  6. Step 6: Final answer
    x = 1,037,214.12

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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.