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Finding the Third Proportional to 158,153 and 341,218

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Solution

The third proportional to 158,153 and 341,218 is: 736,184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,153 : 341,218 = 341,218 : x
  2. Step 2: Convert to fraction form
    158,153/341,218 = 341,218/x
  3. Step 3: Cross multiply
    158,153x = 341,218 × 341,218
  4. Step 4: Simplify right side
    158,153x = 116,429,723,524
  5. Step 5: Solve for x
    x = 116,429,723,524/158,153
  6. Step 6: Final answer
    x = 736,184.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.