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Finding the Third Proportional to 245,115 and 346,855.50

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Solution

The third proportional to 245,115 and 346,855.50 is: 490,825.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,115 : 346,855.50 = 346,855.50 : x
  2. Step 2: Convert to fraction form
    245,115/346,855.50 = 346,855.50/x
  3. Step 3: Cross multiply
    245,115x = 346,855.50 × 346,855.50
  4. Step 4: Simplify right side
    245,115x = 120,308,737,880.25
  5. Step 5: Solve for x
    x = 120,308,737,880.25/245,115
  6. Step 6: Final answer
    x = 490,825.69

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.