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Finding the Third Proportional to 103,955 and 228,210

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Solution

The third proportional to 103,955 and 228,210 is: 500,984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,955 : 228,210 = 228,210 : x
  2. Step 2: Convert to fraction form
    103,955/228,210 = 228,210/x
  3. Step 3: Cross multiply
    103,955x = 228,210 × 228,210
  4. Step 4: Simplify right side
    103,955x = 52,079,804,100
  5. Step 5: Solve for x
    x = 52,079,804,100/103,955
  6. Step 6: Final answer
    x = 500,984.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.