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Finding the Third Proportional to 148,181 and 211,746

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Solution

The third proportional to 148,181 and 211,746 is: 302,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,181 : 211,746 = 211,746 : x
  2. Step 2: Convert to fraction form
    148,181/211,746 = 211,746/x
  3. Step 3: Cross multiply
    148,181x = 211,746 × 211,746
  4. Step 4: Simplify right side
    148,181x = 44,836,368,516
  5. Step 5: Solve for x
    x = 44,836,368,516/148,181
  6. Step 6: Final answer
    x = 302,578.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.