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Finding the Third Proportional to 186,181.50 and 401,889

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Solution

The third proportional to 186,181.50 and 401,889 is: 867,512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,181.50 : 401,889 = 401,889 : x
  2. Step 2: Convert to fraction form
    186,181.50/401,889 = 401,889/x
  3. Step 3: Cross multiply
    186,181.50x = 401,889 × 401,889
  4. Step 4: Simplify right side
    186,181.50x = 161,514,768,321
  5. Step 5: Solve for x
    x = 161,514,768,321/186,181.50
  6. Step 6: Final answer
    x = 867,512.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.