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Finding the Third Proportional to 208,741.50 and 465,293

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Solution

The third proportional to 208,741.50 and 465,293 is: 1,037,156.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,741.50 : 465,293 = 465,293 : x
  2. Step 2: Convert to fraction form
    208,741.50/465,293 = 465,293/x
  3. Step 3: Cross multiply
    208,741.50x = 465,293 × 465,293
  4. Step 4: Simplify right side
    208,741.50x = 216,497,575,849
  5. Step 5: Solve for x
    x = 216,497,575,849/208,741.50
  6. Step 6: Final answer
    x = 1,037,156.37

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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.