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Finding the Third Proportional to 228,575.25 and 492,139.50

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Solution

The third proportional to 228,575.25 and 492,139.50 is: 1,059,612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,575.25 : 492,139.50 = 492,139.50 : x
  2. Step 2: Convert to fraction form
    228,575.25/492,139.50 = 492,139.50/x
  3. Step 3: Cross multiply
    228,575.25x = 492,139.50 × 492,139.50
  4. Step 4: Simplify right side
    228,575.25x = 242,201,287,460.25
  5. Step 5: Solve for x
    x = 242,201,287,460.25/228,575.25
  6. Step 6: Final answer
    x = 1,059,612.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.