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Finding the Third Proportional to 238,203 and 523,066.50

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Solution

The third proportional to 238,203 and 523,066.50 is: 1,148,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,203 : 523,066.50 = 523,066.50 : x
  2. Step 2: Convert to fraction form
    238,203/523,066.50 = 523,066.50/x
  3. Step 3: Cross multiply
    238,203x = 523,066.50 × 523,066.50
  4. Step 4: Simplify right side
    238,203x = 273,598,563,422.25
  5. Step 5: Solve for x
    x = 273,598,563,422.25/238,203
  6. Step 6: Final answer
    x = 1,148,594.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.