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Finding the Third Proportional to 182,054 and 387,072

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Solution

The third proportional to 182,054 and 387,072 is: 822,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,054 : 387,072 = 387,072 : x
  2. Step 2: Convert to fraction form
    182,054/387,072 = 387,072/x
  3. Step 3: Cross multiply
    182,054x = 387,072 × 387,072
  4. Step 4: Simplify right side
    182,054x = 149,824,733,184
  5. Step 5: Solve for x
    x = 149,824,733,184/182,054
  6. Step 6: Final answer
    x = 822,968.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.