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Finding the Third Proportional to 176,218.75 and 264,719

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Solution

The third proportional to 176,218.75 and 264,719 is: 397,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,218.75 : 264,719 = 264,719 : x
  2. Step 2: Convert to fraction form
    176,218.75/264,719 = 264,719/x
  3. Step 3: Cross multiply
    176,218.75x = 264,719 × 264,719
  4. Step 4: Simplify right side
    176,218.75x = 70,076,148,961
  5. Step 5: Solve for x
    x = 70,076,148,961/176,218.75
  6. Step 6: Final answer
    x = 397,665.68

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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.