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Finding the Third Proportional to 172,699 and 266,431

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Solution

The third proportional to 172,699 and 266,431 is: 411,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,699 : 266,431 = 266,431 : x
  2. Step 2: Convert to fraction form
    172,699/266,431 = 266,431/x
  3. Step 3: Cross multiply
    172,699x = 266,431 × 266,431
  4. Step 4: Simplify right side
    172,699x = 70,985,477,761
  5. Step 5: Solve for x
    x = 70,985,477,761/172,699
  6. Step 6: Final answer
    x = 411,035.84

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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.