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Finding the Third Proportional to 148,943.25 and 208,347.75

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Solution

The third proportional to 148,943.25 and 208,347.75 is: 291,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,943.25 : 208,347.75 = 208,347.75 : x
  2. Step 2: Convert to fraction form
    148,943.25/208,347.75 = 208,347.75/x
  3. Step 3: Cross multiply
    148,943.25x = 208,347.75 × 208,347.75
  4. Step 4: Simplify right side
    148,943.25x = 43,408,784,930.06
  5. Step 5: Solve for x
    x = 43,408,784,930.06/148,943.25
  6. Step 6: Final answer
    x = 291,445.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.