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Finding the Third Proportional to 107,371.25 and 228,961.50

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Solution

The third proportional to 107,371.25 and 228,961.50 is: 488,244.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,371.25 : 228,961.50 = 228,961.50 : x
  2. Step 2: Convert to fraction form
    107,371.25/228,961.50 = 228,961.50/x
  3. Step 3: Cross multiply
    107,371.25x = 228,961.50 × 228,961.50
  4. Step 4: Simplify right side
    107,371.25x = 52,423,368,482.25
  5. Step 5: Solve for x
    x = 52,423,368,482.25/107,371.25
  6. Step 6: Final answer
    x = 488,244.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.