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Finding the Third Proportional to 114,567 and 251,278.50

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Solution

The third proportional to 114,567 and 251,278.50 is: 551,126.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,567 : 251,278.50 = 251,278.50 : x
  2. Step 2: Convert to fraction form
    114,567/251,278.50 = 251,278.50/x
  3. Step 3: Cross multiply
    114,567x = 251,278.50 × 251,278.50
  4. Step 4: Simplify right side
    114,567x = 63,140,884,562.25
  5. Step 5: Solve for x
    x = 63,140,884,562.25/114,567
  6. Step 6: Final answer
    x = 551,126.28

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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.