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Finding the Third Proportional to 227,502 and 495,136.13

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Solution

The third proportional to 227,502 and 495,136.13 is: 1,077,615.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,502 : 495,136.13 = 495,136.13 : x
  2. Step 2: Convert to fraction form
    227,502/495,136.13 = 495,136.13/x
  3. Step 3: Cross multiply
    227,502x = 495,136.13 × 495,136.13
  4. Step 4: Simplify right side
    227,502x = 245,159,782,280.02
  5. Step 5: Solve for x
    x = 245,159,782,280.02/227,502
  6. Step 6: Final answer
    x = 1,077,615.94

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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.