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Finding the Third Proportional to 176,559 and 265,233

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Solution

The third proportional to 176,559 and 265,233 is: 398,442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,559 : 265,233 = 265,233 : x
  2. Step 2: Convert to fraction form
    176,559/265,233 = 265,233/x
  3. Step 3: Cross multiply
    176,559x = 265,233 × 265,233
  4. Step 4: Simplify right side
    176,559x = 70,348,544,289
  5. Step 5: Solve for x
    x = 70,348,544,289/176,559
  6. Step 6: Final answer
    x = 398,442.13

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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.