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Finding the Third Proportional to 130,238 and 195,702

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Solution

The third proportional to 130,238 and 195,702 is: 294,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,238 : 195,702 = 195,702 : x
  2. Step 2: Convert to fraction form
    130,238/195,702 = 195,702/x
  3. Step 3: Cross multiply
    130,238x = 195,702 × 195,702
  4. Step 4: Simplify right side
    130,238x = 38,299,272,804
  5. Step 5: Solve for x
    x = 38,299,272,804/130,238
  6. Step 6: Final answer
    x = 294,071.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.