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Finding the Third Proportional to 142,818 and 311,030

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Solution

The third proportional to 142,818 and 311,030 is: 677,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,818 : 311,030 = 311,030 : x
  2. Step 2: Convert to fraction form
    142,818/311,030 = 311,030/x
  3. Step 3: Cross multiply
    142,818x = 311,030 × 311,030
  4. Step 4: Simplify right side
    142,818x = 96,739,660,900
  5. Step 5: Solve for x
    x = 96,739,660,900/142,818
  6. Step 6: Final answer
    x = 677,363.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.