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Finding the Third Proportional to 245,893.50 and 370,563.75

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Solution

The third proportional to 245,893.50 and 370,563.75 is: 558,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,893.50 : 370,563.75 = 370,563.75 : x
  2. Step 2: Convert to fraction form
    245,893.50/370,563.75 = 370,563.75/x
  3. Step 3: Cross multiply
    245,893.50x = 370,563.75 × 370,563.75
  4. Step 4: Simplify right side
    245,893.50x = 137,317,492,814.06
  5. Step 5: Solve for x
    x = 137,317,492,814.06/245,893.50
  6. Step 6: Final answer
    x = 558,442.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.