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Finding the Third Proportional to 208,742.50 and 465,295

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Solution

The third proportional to 208,742.50 and 465,295 is: 1,037,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,742.50 : 465,295 = 465,295 : x
  2. Step 2: Convert to fraction form
    208,742.50/465,295 = 465,295/x
  3. Step 3: Cross multiply
    208,742.50x = 465,295 × 465,295
  4. Step 4: Simplify right side
    208,742.50x = 216,499,437,025
  5. Step 5: Solve for x
    x = 216,499,437,025/208,742.50
  6. Step 6: Final answer
    x = 1,037,160.31

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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.