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Finding the Third Proportional to 207,324 and 330,054

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Solution

The third proportional to 207,324 and 330,054 is: 525,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,324 : 330,054 = 330,054 : x
  2. Step 2: Convert to fraction form
    207,324/330,054 = 330,054/x
  3. Step 3: Cross multiply
    207,324x = 330,054 × 330,054
  4. Step 4: Simplify right side
    207,324x = 108,935,642,916
  5. Step 5: Solve for x
    x = 108,935,642,916/207,324
  6. Step 6: Final answer
    x = 525,436.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.