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Finding the Third Proportional to 245,561 and 346,608

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Solution

The third proportional to 245,561 and 346,608 is: 489,235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,561 : 346,608 = 346,608 : x
  2. Step 2: Convert to fraction form
    245,561/346,608 = 346,608/x
  3. Step 3: Cross multiply
    245,561x = 346,608 × 346,608
  4. Step 4: Simplify right side
    245,561x = 120,137,105,664
  5. Step 5: Solve for x
    x = 120,137,105,664/245,561
  6. Step 6: Final answer
    x = 489,235.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.