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Finding the Third Proportional to 172,768 and 266,532

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Solution

The third proportional to 172,768 and 266,532 is: 411,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,768 : 266,532 = 266,532 : x
  2. Step 2: Convert to fraction form
    172,768/266,532 = 266,532/x
  3. Step 3: Cross multiply
    172,768x = 266,532 × 266,532
  4. Step 4: Simplify right side
    172,768x = 71,039,307,024
  5. Step 5: Solve for x
    x = 71,039,307,024/172,768
  6. Step 6: Final answer
    x = 411,183.25

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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.