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Finding the Third Proportional to 143,872 and 210,594

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Solution

The third proportional to 143,872 and 210,594 is: 308,258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,872 : 210,594 = 210,594 : x
  2. Step 2: Convert to fraction form
    143,872/210,594 = 210,594/x
  3. Step 3: Cross multiply
    143,872x = 210,594 × 210,594
  4. Step 4: Simplify right side
    143,872x = 44,349,832,836
  5. Step 5: Solve for x
    x = 44,349,832,836/143,872
  6. Step 6: Final answer
    x = 308,258.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.