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Finding the Third Proportional to 229,000.50 and 325,047

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Solution

The third proportional to 229,000.50 and 325,047 is: 461,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,000.50 : 325,047 = 325,047 : x
  2. Step 2: Convert to fraction form
    229,000.50/325,047 = 325,047/x
  3. Step 3: Cross multiply
    229,000.50x = 325,047 × 325,047
  4. Step 4: Simplify right side
    229,000.50x = 105,655,552,209
  5. Step 5: Solve for x
    x = 105,655,552,209/229,000.50
  6. Step 6: Final answer
    x = 461,376.95

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.