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Finding the Third Proportional to 159,156 and 345,436

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Solution

The third proportional to 159,156 and 345,436 is: 749,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,156 : 345,436 = 345,436 : x
  2. Step 2: Convert to fraction form
    159,156/345,436 = 345,436/x
  3. Step 3: Cross multiply
    159,156x = 345,436 × 345,436
  4. Step 4: Simplify right side
    159,156x = 119,326,030,096
  5. Step 5: Solve for x
    x = 119,326,030,096/159,156
  6. Step 6: Final answer
    x = 749,742.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.