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Finding the Third Proportional to 148,953 and 351,321

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Solution

The third proportional to 148,953 and 351,321 is: 828,626.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,953 : 351,321 = 351,321 : x
  2. Step 2: Convert to fraction form
    148,953/351,321 = 351,321/x
  3. Step 3: Cross multiply
    148,953x = 351,321 × 351,321
  4. Step 4: Simplify right side
    148,953x = 123,426,445,041
  5. Step 5: Solve for x
    x = 123,426,445,041/148,953
  6. Step 6: Final answer
    x = 828,626.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.