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Finding the Third Proportional to 227,262 and 356,512.50

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Solution

The third proportional to 227,262 and 356,512.50 is: 559,271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,262 : 356,512.50 = 356,512.50 : x
  2. Step 2: Convert to fraction form
    227,262/356,512.50 = 356,512.50/x
  3. Step 3: Cross multiply
    227,262x = 356,512.50 × 356,512.50
  4. Step 4: Simplify right side
    227,262x = 127,101,162,656.25
  5. Step 5: Solve for x
    x = 127,101,162,656.25/227,262
  6. Step 6: Final answer
    x = 559,271.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.