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Finding the Third Proportional to 104,084 and 245,623.50

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Solution

The third proportional to 104,084 and 245,623.50 is: 579,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,084 : 245,623.50 = 245,623.50 : x
  2. Step 2: Convert to fraction form
    104,084/245,623.50 = 245,623.50/x
  3. Step 3: Cross multiply
    104,084x = 245,623.50 × 245,623.50
  4. Step 4: Simplify right side
    104,084x = 60,330,903,752.25
  5. Step 5: Solve for x
    x = 60,330,903,752.25/104,084
  6. Step 6: Final answer
    x = 579,636.68

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.