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Finding the Third Proportional to 178,632 and 265,518

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Solution

The third proportional to 178,632 and 265,518 is: 394,665.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,632 : 265,518 = 265,518 : x
  2. Step 2: Convert to fraction form
    178,632/265,518 = 265,518/x
  3. Step 3: Cross multiply
    178,632x = 265,518 × 265,518
  4. Step 4: Simplify right side
    178,632x = 70,499,808,324
  5. Step 5: Solve for x
    x = 70,499,808,324/178,632
  6. Step 6: Final answer
    x = 394,665.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.