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Finding the Third Proportional to 130,440 and 195,948

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Solution

The third proportional to 130,440 and 195,948 is: 294,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,440 : 195,948 = 195,948 : x
  2. Step 2: Convert to fraction form
    130,440/195,948 = 195,948/x
  3. Step 3: Cross multiply
    130,440x = 195,948 × 195,948
  4. Step 4: Simplify right side
    130,440x = 38,395,618,704
  5. Step 5: Solve for x
    x = 38,395,618,704/130,440
  6. Step 6: Final answer
    x = 294,354.64

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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.