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Finding the Third Proportional to 129,362.06 and 196,232.63

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Solution

The third proportional to 129,362.06 and 196,232.63 is: 297,670.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,362.06 : 196,232.63 = 196,232.63 : x
  2. Step 2: Convert to fraction form
    129,362.06/196,232.63 = 196,232.63/x
  3. Step 3: Cross multiply
    129,362.06x = 196,232.63 × 196,232.63
  4. Step 4: Simplify right side
    129,362.06x = 38,507,243,114.39
  5. Step 5: Solve for x
    x = 38,507,243,114.39/129,362.06
  6. Step 6: Final answer
    x = 297,670.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.