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Finding the Third Proportional to 227,689.50 and 334,156.50

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Solution

The third proportional to 227,689.50 and 334,156.50 is: 490,407.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,689.50 : 334,156.50 = 334,156.50 : x
  2. Step 2: Convert to fraction form
    227,689.50/334,156.50 = 334,156.50/x
  3. Step 3: Cross multiply
    227,689.50x = 334,156.50 × 334,156.50
  4. Step 4: Simplify right side
    227,689.50x = 111,660,566,492.25
  5. Step 5: Solve for x
    x = 111,660,566,492.25/227,689.50
  6. Step 6: Final answer
    x = 490,407.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.