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Finding the Third Proportional to 152,333.16 and 330,090.19

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Solution

The third proportional to 152,333.16 and 330,090.19 is: 715,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,333.16 : 330,090.19 = 330,090.19 : x
  2. Step 2: Convert to fraction form
    152,333.16/330,090.19 = 330,090.19/x
  3. Step 3: Cross multiply
    152,333.16x = 330,090.19 × 330,090.19
  4. Step 4: Simplify right side
    152,333.16x = 108,959,531,883.79
  5. Step 5: Solve for x
    x = 108,959,531,883.79/152,333.16
  6. Step 6: Final answer
    x = 715,271.28

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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.