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Finding the Third Proportional to 144,522 and 227,011

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Solution

The third proportional to 144,522 and 227,011 is: 356,582.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,522 : 227,011 = 227,011 : x
  2. Step 2: Convert to fraction form
    144,522/227,011 = 227,011/x
  3. Step 3: Cross multiply
    144,522x = 227,011 × 227,011
  4. Step 4: Simplify right side
    144,522x = 51,533,994,121
  5. Step 5: Solve for x
    x = 51,533,994,121/144,522
  6. Step 6: Final answer
    x = 356,582.35

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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.