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Finding the Third Proportional to 105,988.50 and 226,557

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Solution

The third proportional to 105,988.50 and 226,557 is: 484,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,988.50 : 226,557 = 226,557 : x
  2. Step 2: Convert to fraction form
    105,988.50/226,557 = 226,557/x
  3. Step 3: Cross multiply
    105,988.50x = 226,557 × 226,557
  4. Step 4: Simplify right side
    105,988.50x = 51,328,074,249
  5. Step 5: Solve for x
    x = 51,328,074,249/105,988.50
  6. Step 6: Final answer
    x = 484,279.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.