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Finding the Third Proportional to 143,643 and 308,454

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Solution

The third proportional to 143,643 and 308,454 is: 662,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,643 : 308,454 = 308,454 : x
  2. Step 2: Convert to fraction form
    143,643/308,454 = 308,454/x
  3. Step 3: Cross multiply
    143,643x = 308,454 × 308,454
  4. Step 4: Simplify right side
    143,643x = 95,143,870,116
  5. Step 5: Solve for x
    x = 95,143,870,116/143,643
  6. Step 6: Final answer
    x = 662,363.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.