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Finding the Third Proportional to 152,336.63 and 330,096.94

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Solution

The third proportional to 152,336.63 and 330,096.94 is: 715,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,336.63 : 330,096.94 = 330,096.94 : x
  2. Step 2: Convert to fraction form
    152,336.63/330,096.94 = 330,096.94/x
  3. Step 3: Cross multiply
    152,336.63x = 330,096.94 × 330,096.94
  4. Step 4: Simplify right side
    152,336.63x = 108,963,988,146.88
  5. Step 5: Solve for x
    x = 108,963,988,146.88/152,336.63
  6. Step 6: Final answer
    x = 715,284.25

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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.