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Finding the Third Proportional to 114,708 and 251,556

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Solution

The third proportional to 114,708 and 251,556 is: 551,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,708 : 251,556 = 251,556 : x
  2. Step 2: Convert to fraction form
    114,708/251,556 = 251,556/x
  3. Step 3: Cross multiply
    114,708x = 251,556 × 251,556
  4. Step 4: Simplify right side
    114,708x = 63,280,421,136
  5. Step 5: Solve for x
    x = 63,280,421,136/114,708
  6. Step 6: Final answer
    x = 551,665.28

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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.