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Finding the Third Proportional to 155,813 and 336,537

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Solution

The third proportional to 155,813 and 336,537 is: 726,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,813 : 336,537 = 336,537 : x
  2. Step 2: Convert to fraction form
    155,813/336,537 = 336,537/x
  3. Step 3: Cross multiply
    155,813x = 336,537 × 336,537
  4. Step 4: Simplify right side
    155,813x = 113,257,152,369
  5. Step 5: Solve for x
    x = 113,257,152,369/155,813
  6. Step 6: Final answer
    x = 726,878.71

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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.