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Finding the Third Proportional to 176,642 and 264,291

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Solution

The third proportional to 176,642 and 264,291 is: 395,431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,642 : 264,291 = 264,291 : x
  2. Step 2: Convert to fraction form
    176,642/264,291 = 264,291/x
  3. Step 3: Cross multiply
    176,642x = 264,291 × 264,291
  4. Step 4: Simplify right side
    176,642x = 69,849,732,681
  5. Step 5: Solve for x
    x = 69,849,732,681/176,642
  6. Step 6: Final answer
    x = 395,431.06

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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.