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Finding the Third Proportional to 281,293 and 375,760.50

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Solution

The third proportional to 281,293 and 375,760.50 is: 501,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,293 : 375,760.50 = 375,760.50 : x
  2. Step 2: Convert to fraction form
    281,293/375,760.50 = 375,760.50/x
  3. Step 3: Cross multiply
    281,293x = 375,760.50 × 375,760.50
  4. Step 4: Simplify right side
    281,293x = 141,195,953,360.25
  5. Step 5: Solve for x
    x = 141,195,953,360.25/281,293
  6. Step 6: Final answer
    x = 501,953.31

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.