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Finding the Third Proportional to 111,566 and 245,276

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Solution

The third proportional to 111,566 and 245,276 is: 539,235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,566 : 245,276 = 245,276 : x
  2. Step 2: Convert to fraction form
    111,566/245,276 = 245,276/x
  3. Step 3: Cross multiply
    111,566x = 245,276 × 245,276
  4. Step 4: Simplify right side
    111,566x = 60,160,316,176
  5. Step 5: Solve for x
    x = 60,160,316,176/111,566
  6. Step 6: Final answer
    x = 539,235.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.