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Finding the Third Proportional to 281,211.75 and 401,851.13

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Solution

The third proportional to 281,211.75 and 401,851.13 is: 574,244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,211.75 : 401,851.13 = 401,851.13 : x
  2. Step 2: Convert to fraction form
    281,211.75/401,851.13 = 401,851.13/x
  3. Step 3: Cross multiply
    281,211.75x = 401,851.13 × 401,851.13
  4. Step 4: Simplify right side
    281,211.75x = 161,484,326,663.77
  5. Step 5: Solve for x
    x = 161,484,326,663.77/281,211.75
  6. Step 6: Final answer
    x = 574,244.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.