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Finding the Third Proportional to 181,522 and 253,896

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Solution

The third proportional to 181,522 and 253,896 is: 355,125.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,522 : 253,896 = 253,896 : x
  2. Step 2: Convert to fraction form
    181,522/253,896 = 253,896/x
  3. Step 3: Cross multiply
    181,522x = 253,896 × 253,896
  4. Step 4: Simplify right side
    181,522x = 64,463,178,816
  5. Step 5: Solve for x
    x = 64,463,178,816/181,522
  6. Step 6: Final answer
    x = 355,125.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.