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Finding the Third Proportional to 176,044 and 264,908

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Solution

The third proportional to 176,044 and 264,908 is: 398,629.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,044 : 264,908 = 264,908 : x
  2. Step 2: Convert to fraction form
    176,044/264,908 = 264,908/x
  3. Step 3: Cross multiply
    176,044x = 264,908 × 264,908
  4. Step 4: Simplify right side
    176,044x = 70,176,248,464
  5. Step 5: Solve for x
    x = 70,176,248,464/176,044
  6. Step 6: Final answer
    x = 398,629.03

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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.