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Finding the Third Proportional to 114,569 and 251,283

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Solution

The third proportional to 114,569 and 251,283 is: 551,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,569 : 251,283 = 251,283 : x
  2. Step 2: Convert to fraction form
    114,569/251,283 = 251,283/x
  3. Step 3: Cross multiply
    114,569x = 251,283 × 251,283
  4. Step 4: Simplify right side
    114,569x = 63,143,146,089
  5. Step 5: Solve for x
    x = 63,143,146,089/114,569
  6. Step 6: Final answer
    x = 551,136.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.