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Finding the Third Proportional to 176,034 and 264,893

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Solution

The third proportional to 176,034 and 264,893 is: 398,606.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,034 : 264,893 = 264,893 : x
  2. Step 2: Convert to fraction form
    176,034/264,893 = 264,893/x
  3. Step 3: Cross multiply
    176,034x = 264,893 × 264,893
  4. Step 4: Simplify right side
    176,034x = 70,168,301,449
  5. Step 5: Solve for x
    x = 70,168,301,449/176,034
  6. Step 6: Final answer
    x = 398,606.53

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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.