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Finding the Third Proportional to 181,232 and 265,908

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Solution

The third proportional to 181,232 and 265,908 is: 390,146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,232 : 265,908 = 265,908 : x
  2. Step 2: Convert to fraction form
    181,232/265,908 = 265,908/x
  3. Step 3: Cross multiply
    181,232x = 265,908 × 265,908
  4. Step 4: Simplify right side
    181,232x = 70,707,064,464
  5. Step 5: Solve for x
    x = 70,707,064,464/181,232
  6. Step 6: Final answer
    x = 390,146.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.