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Finding the Third Proportional to 152,042.06 and 197,240.06

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Solution

The third proportional to 152,042.06 and 197,240.06 is: 255,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,042.06 : 197,240.06 = 197,240.06 : x
  2. Step 2: Convert to fraction form
    152,042.06/197,240.06 = 197,240.06/x
  3. Step 3: Cross multiply
    152,042.06x = 197,240.06 × 197,240.06
  4. Step 4: Simplify right side
    152,042.06x = 38,903,642,255.00
  5. Step 5: Solve for x
    x = 38,903,642,255.00/152,042.06
  6. Step 6: Final answer
    x = 255,874.21

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.