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Finding the Third Proportional to 219,007.50 and 242,047.50

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Solution

The third proportional to 219,007.50 and 242,047.50 is: 267,511.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,007.50 : 242,047.50 = 242,047.50 : x
  2. Step 2: Convert to fraction form
    219,007.50/242,047.50 = 242,047.50/x
  3. Step 3: Cross multiply
    219,007.50x = 242,047.50 × 242,047.50
  4. Step 4: Simplify right side
    219,007.50x = 58,586,992,256.25
  5. Step 5: Solve for x
    x = 58,586,992,256.25/219,007.50
  6. Step 6: Final answer
    x = 267,511.35

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.