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Finding the Third Proportional to 176,442 and 265,062

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Solution

The third proportional to 176,442 and 265,062 is: 398,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,442 : 265,062 = 265,062 : x
  2. Step 2: Convert to fraction form
    176,442/265,062 = 265,062/x
  3. Step 3: Cross multiply
    176,442x = 265,062 × 265,062
  4. Step 4: Simplify right side
    176,442x = 70,257,863,844
  5. Step 5: Solve for x
    x = 70,257,863,844/176,442
  6. Step 6: Final answer
    x = 398,192.40

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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.