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Finding the Third Proportional to 176,056 and 211,595

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Solution

The third proportional to 176,056 and 211,595 is: 254,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,056 : 211,595 = 211,595 : x
  2. Step 2: Convert to fraction form
    176,056/211,595 = 211,595/x
  3. Step 3: Cross multiply
    176,056x = 211,595 × 211,595
  4. Step 4: Simplify right side
    176,056x = 44,772,444,025
  5. Step 5: Solve for x
    x = 44,772,444,025/176,056
  6. Step 6: Final answer
    x = 254,307.97

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.