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Finding the Third Proportional to 103,684 and 249,936

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Solution

The third proportional to 103,684 and 249,936 is: 602,484.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684 : 249,936 = 249,936 : x
  2. Step 2: Convert to fraction form
    103,684/249,936 = 249,936/x
  3. Step 3: Cross multiply
    103,684x = 249,936 × 249,936
  4. Step 4: Simplify right side
    103,684x = 62,468,004,096
  5. Step 5: Solve for x
    x = 62,468,004,096/103,684
  6. Step 6: Final answer
    x = 602,484.51

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.