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Finding the Third Proportional to 176,261 and 264,783

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Solution

The third proportional to 176,261 and 264,783 is: 397,762.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,261 : 264,783 = 264,783 : x
  2. Step 2: Convert to fraction form
    176,261/264,783 = 264,783/x
  3. Step 3: Cross multiply
    176,261x = 264,783 × 264,783
  4. Step 4: Simplify right side
    176,261x = 70,110,037,089
  5. Step 5: Solve for x
    x = 70,110,037,089/176,261
  6. Step 6: Final answer
    x = 397,762.62

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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.