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Finding the Third Proportional to 144,707.06 and 206,420.06

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Solution

The third proportional to 144,707.06 and 206,420.06 is: 294,451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,707.06 : 206,420.06 = 206,420.06 : x
  2. Step 2: Convert to fraction form
    144,707.06/206,420.06 = 206,420.06/x
  3. Step 3: Cross multiply
    144,707.06x = 206,420.06 × 206,420.06
  4. Step 4: Simplify right side
    144,707.06x = 42,609,242,202.50
  5. Step 5: Solve for x
    x = 42,609,242,202.50/144,707.06
  6. Step 6: Final answer
    x = 294,451.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.