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Finding the Third Proportional to 281,188 and 430,136

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Solution

The third proportional to 281,188 and 430,136 is: 657,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,188 : 430,136 = 430,136 : x
  2. Step 2: Convert to fraction form
    281,188/430,136 = 430,136/x
  3. Step 3: Cross multiply
    281,188x = 430,136 × 430,136
  4. Step 4: Simplify right side
    281,188x = 185,016,978,496
  5. Step 5: Solve for x
    x = 185,016,978,496/281,188
  6. Step 6: Final answer
    x = 657,983.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.