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Finding the Third Proportional to 176,727 and 264,514

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Solution

The third proportional to 176,727 and 264,514 is: 395,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,727 : 264,514 = 264,514 : x
  2. Step 2: Convert to fraction form
    176,727/264,514 = 264,514/x
  3. Step 3: Cross multiply
    176,727x = 264,514 × 264,514
  4. Step 4: Simplify right side
    176,727x = 69,967,656,196
  5. Step 5: Solve for x
    x = 69,967,656,196/176,727
  6. Step 6: Final answer
    x = 395,908.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.