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Finding the Third Proportional to 229,000.50 and 336,839.06

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Solution

The third proportional to 229,000.50 and 336,839.06 is: 495,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,000.50 : 336,839.06 = 336,839.06 : x
  2. Step 2: Convert to fraction form
    229,000.50/336,839.06 = 336,839.06/x
  3. Step 3: Cross multiply
    229,000.50x = 336,839.06 × 336,839.06
  4. Step 4: Simplify right side
    229,000.50x = 113,460,554,025.88
  5. Step 5: Solve for x
    x = 113,460,554,025.88/229,000.50
  6. Step 6: Final answer
    x = 495,459.85

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Why These Related Problems?

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