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Finding the Third Proportional to 155,536.50 and 211,053

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Solution

The third proportional to 155,536.50 and 211,053 is: 286,385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,536.50 : 211,053 = 211,053 : x
  2. Step 2: Convert to fraction form
    155,536.50/211,053 = 211,053/x
  3. Step 3: Cross multiply
    155,536.50x = 211,053 × 211,053
  4. Step 4: Simplify right side
    155,536.50x = 44,543,368,809
  5. Step 5: Solve for x
    x = 44,543,368,809/155,536.50
  6. Step 6: Final answer
    x = 286,385.31

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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.