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Finding the Third Proportional to 114,051 and 250,998

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Solution

The third proportional to 114,051 and 250,998 is: 552,384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,051 : 250,998 = 250,998 : x
  2. Step 2: Convert to fraction form
    114,051/250,998 = 250,998/x
  3. Step 3: Cross multiply
    114,051x = 250,998 × 250,998
  4. Step 4: Simplify right side
    114,051x = 62,999,996,004
  5. Step 5: Solve for x
    x = 62,999,996,004/114,051
  6. Step 6: Final answer
    x = 552,384.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.