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Finding the Third Proportional to 238,019.55 and 347,908.29

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Solution

The third proportional to 238,019.55 and 347,908.29 is: 508,530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,019.55 : 347,908.29 = 347,908.29 : x
  2. Step 2: Convert to fraction form
    238,019.55/347,908.29 = 347,908.29/x
  3. Step 3: Cross multiply
    238,019.55x = 347,908.29 × 347,908.29
  4. Step 4: Simplify right side
    238,019.55x = 121,040,177,598.40
  5. Step 5: Solve for x
    x = 121,040,177,598.40/238,019.55
  6. Step 6: Final answer
    x = 508,530.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.