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Finding the Third Proportional to 172,888 and 266,710

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Solution

The third proportional to 172,888 and 266,710 is: 411,446.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,888 : 266,710 = 266,710 : x
  2. Step 2: Convert to fraction form
    172,888/266,710 = 266,710/x
  3. Step 3: Cross multiply
    172,888x = 266,710 × 266,710
  4. Step 4: Simplify right side
    172,888x = 71,134,224,100
  5. Step 5: Solve for x
    x = 71,134,224,100/172,888
  6. Step 6: Final answer
    x = 411,446.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.