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Finding the Third Proportional to 204,564.23 and 434,985.19

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Solution

The third proportional to 204,564.23 and 434,985.19 is: 924,952.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,564.23 : 434,985.19 = 434,985.19 : x
  2. Step 2: Convert to fraction form
    204,564.23/434,985.19 = 434,985.19/x
  3. Step 3: Cross multiply
    204,564.23x = 434,985.19 × 434,985.19
  4. Step 4: Simplify right side
    204,564.23x = 189,212,113,344.41
  5. Step 5: Solve for x
    x = 189,212,113,344.41/204,564.23
  6. Step 6: Final answer
    x = 924,952.08

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.