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Finding the Third Proportional to 110,711 and 229,300

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Solution

The third proportional to 110,711 and 229,300 is: 474,916.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,711 : 229,300 = 229,300 : x
  2. Step 2: Convert to fraction form
    110,711/229,300 = 229,300/x
  3. Step 3: Cross multiply
    110,711x = 229,300 × 229,300
  4. Step 4: Simplify right side
    110,711x = 52,578,490,000
  5. Step 5: Solve for x
    x = 52,578,490,000/110,711
  6. Step 6: Final answer
    x = 474,916.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.