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Finding the Third Proportional to 130,627 and 196,117

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Solution

The third proportional to 130,627 and 196,117 is: 294,440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,627 : 196,117 = 196,117 : x
  2. Step 2: Convert to fraction form
    130,627/196,117 = 196,117/x
  3. Step 3: Cross multiply
    130,627x = 196,117 × 196,117
  4. Step 4: Simplify right side
    130,627x = 38,461,877,689
  5. Step 5: Solve for x
    x = 38,461,877,689/130,627
  6. Step 6: Final answer
    x = 294,440.49

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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.