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Finding the Third Proportional to 181,575 and 265,770

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Solution

The third proportional to 181,575 and 265,770 is: 389,005.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,575 : 265,770 = 265,770 : x
  2. Step 2: Convert to fraction form
    181,575/265,770 = 265,770/x
  3. Step 3: Cross multiply
    181,575x = 265,770 × 265,770
  4. Step 4: Simplify right side
    181,575x = 70,633,692,900
  5. Step 5: Solve for x
    x = 70,633,692,900/181,575
  6. Step 6: Final answer
    x = 389,005.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.