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Finding the Third Proportional to 145,989.84 and 196,430.06

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Solution

The third proportional to 145,989.84 and 196,430.06 is: 264,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,989.84 : 196,430.06 = 196,430.06 : x
  2. Step 2: Convert to fraction form
    145,989.84/196,430.06 = 196,430.06/x
  3. Step 3: Cross multiply
    145,989.84x = 196,430.06 × 196,430.06
  4. Step 4: Simplify right side
    145,989.84x = 38,584,769,453.75
  5. Step 5: Solve for x
    x = 38,584,769,453.75/145,989.84
  6. Step 6: Final answer
    x = 264,297.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.