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Finding the Third Proportional to 169,506 and 376,182

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Solution

The third proportional to 169,506 and 376,182 is: 834,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,506 : 376,182 = 376,182 : x
  2. Step 2: Convert to fraction form
    169,506/376,182 = 376,182/x
  3. Step 3: Cross multiply
    169,506x = 376,182 × 376,182
  4. Step 4: Simplify right side
    169,506x = 141,512,897,124
  5. Step 5: Solve for x
    x = 141,512,897,124/169,506
  6. Step 6: Final answer
    x = 834,854.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.