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Finding the Third Proportional to 148,737 and 290,001

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Solution

The third proportional to 148,737 and 290,001 is: 565,431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,737 : 290,001 = 290,001 : x
  2. Step 2: Convert to fraction form
    148,737/290,001 = 290,001/x
  3. Step 3: Cross multiply
    148,737x = 290,001 × 290,001
  4. Step 4: Simplify right side
    148,737x = 84,100,580,001
  5. Step 5: Solve for x
    x = 84,100,580,001/148,737
  6. Step 6: Final answer
    x = 565,431.47

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.