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Finding the Third Proportional to 104,683.50 and 228,924

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Solution

The third proportional to 104,683.50 and 228,924 is: 500,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,683.50 : 228,924 = 228,924 : x
  2. Step 2: Convert to fraction form
    104,683.50/228,924 = 228,924/x
  3. Step 3: Cross multiply
    104,683.50x = 228,924 × 228,924
  4. Step 4: Simplify right side
    104,683.50x = 52,406,197,776
  5. Step 5: Solve for x
    x = 52,406,197,776/104,683.50
  6. Step 6: Final answer
    x = 500,615.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.