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Finding the Third Proportional to 152,323.03 and 330,069.94

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Solution

The third proportional to 152,323.03 and 330,069.94 is: 715,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,323.03 : 330,069.94 = 330,069.94 : x
  2. Step 2: Convert to fraction form
    152,323.03/330,069.94 = 330,069.94/x
  3. Step 3: Cross multiply
    152,323.03x = 330,069.94 × 330,069.94
  4. Step 4: Simplify right side
    152,323.03x = 108,946,163,641.25
  5. Step 5: Solve for x
    x = 108,946,163,641.25/152,323.03
  6. Step 6: Final answer
    x = 715,231.06

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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.