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Finding the Third Proportional to 226,116 and 357,966

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Solution

The third proportional to 226,116 and 357,966 is: 566,698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,116 : 357,966 = 357,966 : x
  2. Step 2: Convert to fraction form
    226,116/357,966 = 357,966/x
  3. Step 3: Cross multiply
    226,116x = 357,966 × 357,966
  4. Step 4: Simplify right side
    226,116x = 128,139,657,156
  5. Step 5: Solve for x
    x = 128,139,657,156/226,116
  6. Step 6: Final answer
    x = 566,698.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.