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Finding the Third Proportional to 210,741.75 and 330,233.63

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Solution

The third proportional to 210,741.75 and 330,233.63 is: 517,478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,741.75 : 330,233.63 = 330,233.63 : x
  2. Step 2: Convert to fraction form
    210,741.75/330,233.63 = 330,233.63/x
  3. Step 3: Cross multiply
    210,741.75x = 330,233.63 × 330,233.63
  4. Step 4: Simplify right side
    210,741.75x = 109,054,247,080.64
  5. Step 5: Solve for x
    x = 109,054,247,080.64/210,741.75
  6. Step 6: Final answer
    x = 517,478.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.