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Finding the Third Proportional to 251,136 and 357,954

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Solution

The third proportional to 251,136 and 357,954 is: 510,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,136 : 357,954 = 357,954 : x
  2. Step 2: Convert to fraction form
    251,136/357,954 = 357,954/x
  3. Step 3: Cross multiply
    251,136x = 357,954 × 357,954
  4. Step 4: Simplify right side
    251,136x = 128,131,066,116
  5. Step 5: Solve for x
    x = 128,131,066,116/251,136
  6. Step 6: Final answer
    x = 510,205.89

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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.