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Finding the Third Proportional to 130,155.25 and 196,619.63

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Solution

The third proportional to 130,155.25 and 196,619.63 is: 297,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,155.25 : 196,619.63 = 196,619.63 : x
  2. Step 2: Convert to fraction form
    130,155.25/196,619.63 = 196,619.63/x
  3. Step 3: Cross multiply
    130,155.25x = 196,619.63 × 196,619.63
  4. Step 4: Simplify right side
    130,155.25x = 38,659,276,935.14
  5. Step 5: Solve for x
    x = 38,659,276,935.14/130,155.25
  6. Step 6: Final answer
    x = 297,024.34

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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.