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Finding the Third Proportional to 70,323.19 and 153,844.31

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Solution

The third proportional to 70,323.19 and 153,844.31 is: 336,561.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,323.19 : 153,844.31 = 153,844.31 : x
  2. Step 2: Convert to fraction form
    70,323.19/153,844.31 = 153,844.31/x
  3. Step 3: Cross multiply
    70,323.19x = 153,844.31 × 153,844.31
  4. Step 4: Simplify right side
    70,323.19x = 23,668,072,488.60
  5. Step 5: Solve for x
    x = 23,668,072,488.60/70,323.19
  6. Step 6: Final answer
    x = 336,561.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.