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Finding the Third Proportional to 224,511.50 and 266,030

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Solution

The third proportional to 224,511.50 and 266,030 is: 315,226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,511.50 : 266,030 = 266,030 : x
  2. Step 2: Convert to fraction form
    224,511.50/266,030 = 266,030/x
  3. Step 3: Cross multiply
    224,511.50x = 266,030 × 266,030
  4. Step 4: Simplify right side
    224,511.50x = 70,771,960,900
  5. Step 5: Solve for x
    x = 70,771,960,900/224,511.50
  6. Step 6: Final answer
    x = 315,226.44

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.