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Finding the Third Proportional to 238,101.75 and 323,011.13

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Solution

The third proportional to 238,101.75 and 323,011.13 is: 438,200.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,101.75 : 323,011.13 = 323,011.13 : x
  2. Step 2: Convert to fraction form
    238,101.75/323,011.13 = 323,011.13/x
  3. Step 3: Cross multiply
    238,101.75x = 323,011.13 × 323,011.13
  4. Step 4: Simplify right side
    238,101.75x = 104,336,186,873.77
  5. Step 5: Solve for x
    x = 104,336,186,873.77/238,101.75
  6. Step 6: Final answer
    x = 438,200.00

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.