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Finding the Third Proportional to 114,196.50 and 245,890.50

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Solution

The third proportional to 114,196.50 and 245,890.50 is: 529,457.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,196.50 : 245,890.50 = 245,890.50 : x
  2. Step 2: Convert to fraction form
    114,196.50/245,890.50 = 245,890.50/x
  3. Step 3: Cross multiply
    114,196.50x = 245,890.50 × 245,890.50
  4. Step 4: Simplify right side
    114,196.50x = 60,462,137,990.25
  5. Step 5: Solve for x
    x = 60,462,137,990.25/114,196.50
  6. Step 6: Final answer
    x = 529,457.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.