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Finding the Third Proportional to 130,158 and 196,875

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Solution

The third proportional to 130,158 and 196,875 is: 297,790.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,158 : 196,875 = 196,875 : x
  2. Step 2: Convert to fraction form
    130,158/196,875 = 196,875/x
  3. Step 3: Cross multiply
    130,158x = 196,875 × 196,875
  4. Step 4: Simplify right side
    130,158x = 38,759,765,625
  5. Step 5: Solve for x
    x = 38,759,765,625/130,158
  6. Step 6: Final answer
    x = 297,790.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.