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Finding the Third Proportional to 229,030 and 342,492

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Solution

The third proportional to 229,030 and 342,492 is: 512,163.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,030 : 342,492 = 342,492 : x
  2. Step 2: Convert to fraction form
    229,030/342,492 = 342,492/x
  3. Step 3: Cross multiply
    229,030x = 342,492 × 342,492
  4. Step 4: Simplify right side
    229,030x = 117,300,770,064
  5. Step 5: Solve for x
    x = 117,300,770,064/229,030
  6. Step 6: Final answer
    x = 512,163.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.