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Finding the Third Proportional to 155,525 and 211,036

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Solution

The third proportional to 155,525 and 211,036 is: 286,360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,525 : 211,036 = 211,036 : x
  2. Step 2: Convert to fraction form
    155,525/211,036 = 211,036/x
  3. Step 3: Cross multiply
    155,525x = 211,036 × 211,036
  4. Step 4: Simplify right side
    155,525x = 44,536,193,296
  5. Step 5: Solve for x
    x = 44,536,193,296/155,525
  6. Step 6: Final answer
    x = 286,360.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.