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Finding the Third Proportional to 261,092.25 and 352,273.50

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Solution

The third proportional to 261,092.25 and 352,273.50 is: 475,297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,092.25 : 352,273.50 = 352,273.50 : x
  2. Step 2: Convert to fraction form
    261,092.25/352,273.50 = 352,273.50/x
  3. Step 3: Cross multiply
    261,092.25x = 352,273.50 × 352,273.50
  4. Step 4: Simplify right side
    261,092.25x = 124,096,618,802.25
  5. Step 5: Solve for x
    x = 124,096,618,802.25/261,092.25
  6. Step 6: Final answer
    x = 475,297.98

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.