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Finding the Third Proportional to 227,368.69 and 495,104.06

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Solution

The third proportional to 227,368.69 and 495,104.06 is: 1,078,108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,368.69 : 495,104.06 = 495,104.06 : x
  2. Step 2: Convert to fraction form
    227,368.69/495,104.06 = 495,104.06/x
  3. Step 3: Cross multiply
    227,368.69x = 495,104.06 × 495,104.06
  4. Step 4: Simplify right side
    227,368.69x = 245,128,032,704.00
  5. Step 5: Solve for x
    x = 245,128,032,704.00/227,368.69
  6. Step 6: Final answer
    x = 1,078,108.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.