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Finding the Third Proportional to 108,829.50 and 228,675.50

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Solution

The third proportional to 108,829.50 and 228,675.50 is: 480,499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,829.50 : 228,675.50 = 228,675.50 : x
  2. Step 2: Convert to fraction form
    108,829.50/228,675.50 = 228,675.50/x
  3. Step 3: Cross multiply
    108,829.50x = 228,675.50 × 228,675.50
  4. Step 4: Simplify right side
    108,829.50x = 52,292,484,300.25
  5. Step 5: Solve for x
    x = 52,292,484,300.25/108,829.50
  6. Step 6: Final answer
    x = 480,499.17

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.