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Finding the Third Proportional to 150,258 and 210,078

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Solution

The third proportional to 150,258 and 210,078 is: 293,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,258 : 210,078 = 210,078 : x
  2. Step 2: Convert to fraction form
    150,258/210,078 = 210,078/x
  3. Step 3: Cross multiply
    150,258x = 210,078 × 210,078
  4. Step 4: Simplify right side
    150,258x = 44,132,766,084
  5. Step 5: Solve for x
    x = 44,132,766,084/150,258
  6. Step 6: Final answer
    x = 293,713.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.