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Finding the Third Proportional to 182,071 and 372,888

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Solution

The third proportional to 182,071 and 372,888 is: 763,688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,071 : 372,888 = 372,888 : x
  2. Step 2: Convert to fraction form
    182,071/372,888 = 372,888/x
  3. Step 3: Cross multiply
    182,071x = 372,888 × 372,888
  4. Step 4: Simplify right side
    182,071x = 139,045,460,544
  5. Step 5: Solve for x
    x = 139,045,460,544/182,071
  6. Step 6: Final answer
    x = 763,688.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.