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Finding the Third Proportional to 143,164 and 304,820

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Solution

The third proportional to 143,164 and 304,820 is: 649,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,164 : 304,820 = 304,820 : x
  2. Step 2: Convert to fraction form
    143,164/304,820 = 304,820/x
  3. Step 3: Cross multiply
    143,164x = 304,820 × 304,820
  4. Step 4: Simplify right side
    143,164x = 92,915,232,400
  5. Step 5: Solve for x
    x = 92,915,232,400/143,164
  6. Step 6: Final answer
    x = 649,012.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.