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Finding the Third Proportional to 249,816 and 361,116

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Solution

The third proportional to 249,816 and 361,116 is: 522,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,816 : 361,116 = 361,116 : x
  2. Step 2: Convert to fraction form
    249,816/361,116 = 361,116/x
  3. Step 3: Cross multiply
    249,816x = 361,116 × 361,116
  4. Step 4: Simplify right side
    249,816x = 130,404,765,456
  5. Step 5: Solve for x
    x = 130,404,765,456/249,816
  6. Step 6: Final answer
    x = 522,003.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.