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Finding the Third Proportional to 148,826 and 212,737

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Solution

The third proportional to 148,826 and 212,737 is: 304,093.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,826 : 212,737 = 212,737 : x
  2. Step 2: Convert to fraction form
    148,826/212,737 = 212,737/x
  3. Step 3: Cross multiply
    148,826x = 212,737 × 212,737
  4. Step 4: Simplify right side
    148,826x = 45,257,031,169
  5. Step 5: Solve for x
    x = 45,257,031,169/148,826
  6. Step 6: Final answer
    x = 304,093.58

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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.