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Finding the Third Proportional to 191,020.22 and 258,505.17

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Solution

The third proportional to 191,020.22 and 258,505.17 is: 349,831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,020.22 : 258,505.17 = 258,505.17 : x
  2. Step 2: Convert to fraction form
    191,020.22/258,505.17 = 258,505.17/x
  3. Step 3: Cross multiply
    191,020.22x = 258,505.17 × 258,505.17
  4. Step 4: Simplify right side
    191,020.22x = 66,824,923,886.12
  5. Step 5: Solve for x
    x = 66,824,923,886.12/191,020.22
  6. Step 6: Final answer
    x = 349,831.68

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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.