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Finding the Third Proportional to 232,824 and 369,283.50

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Solution

The third proportional to 232,824 and 369,283.50 is: 585,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,824 : 369,283.50 = 369,283.50 : x
  2. Step 2: Convert to fraction form
    232,824/369,283.50 = 369,283.50/x
  3. Step 3: Cross multiply
    232,824x = 369,283.50 × 369,283.50
  4. Step 4: Simplify right side
    232,824x = 136,370,303,372.25
  5. Step 5: Solve for x
    x = 136,370,303,372.25/232,824
  6. Step 6: Final answer
    x = 585,722.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.