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Finding the Third Proportional to 105,447 and 248,911.50

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Solution

The third proportional to 105,447 and 248,911.50 is: 587,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,447 : 248,911.50 = 248,911.50 : x
  2. Step 2: Convert to fraction form
    105,447/248,911.50 = 248,911.50/x
  3. Step 3: Cross multiply
    105,447x = 248,911.50 × 248,911.50
  4. Step 4: Simplify right side
    105,447x = 61,956,934,832.25
  5. Step 5: Solve for x
    x = 61,956,934,832.25/105,447
  6. Step 6: Final answer
    x = 587,564.70

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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.