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Finding the Third Proportional to 116,698.50 and 237,676.50

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Solution

The third proportional to 116,698.50 and 237,676.50 is: 484,068.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,698.50 : 237,676.50 = 237,676.50 : x
  2. Step 2: Convert to fraction form
    116,698.50/237,676.50 = 237,676.50/x
  3. Step 3: Cross multiply
    116,698.50x = 237,676.50 × 237,676.50
  4. Step 4: Simplify right side
    116,698.50x = 56,490,118,652.25
  5. Step 5: Solve for x
    x = 56,490,118,652.25/116,698.50
  6. Step 6: Final answer
    x = 484,068.94

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.