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Finding the Third Proportional to 164,247 and 181,527

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Solution

The third proportional to 164,247 and 181,527 is: 200,624.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,247 : 181,527 = 181,527 : x
  2. Step 2: Convert to fraction form
    164,247/181,527 = 181,527/x
  3. Step 3: Cross multiply
    164,247x = 181,527 × 181,527
  4. Step 4: Simplify right side
    164,247x = 32,952,051,729
  5. Step 5: Solve for x
    x = 32,952,051,729/164,247
  6. Step 6: Final answer
    x = 200,624.98

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.