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Finding the Third Proportional to 170,322 and 369,622.50

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Solution

The third proportional to 170,322 and 369,622.50 is: 802,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,322 : 369,622.50 = 369,622.50 : x
  2. Step 2: Convert to fraction form
    170,322/369,622.50 = 369,622.50/x
  3. Step 3: Cross multiply
    170,322x = 369,622.50 × 369,622.50
  4. Step 4: Simplify right side
    170,322x = 136,620,792,506.25
  5. Step 5: Solve for x
    x = 136,620,792,506.25/170,322
  6. Step 6: Final answer
    x = 802,132.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.