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Finding the Third Proportional to 176,264 and 264,791

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Solution

The third proportional to 176,264 and 264,791 is: 397,779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,264 : 264,791 = 264,791 : x
  2. Step 2: Convert to fraction form
    176,264/264,791 = 264,791/x
  3. Step 3: Cross multiply
    176,264x = 264,791 × 264,791
  4. Step 4: Simplify right side
    176,264x = 70,114,273,681
  5. Step 5: Solve for x
    x = 70,114,273,681/176,264
  6. Step 6: Final answer
    x = 397,779.89

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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.