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Finding the Third Proportional to 180,333 and 392,013

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Solution

The third proportional to 180,333 and 392,013 is: 852,169.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,333 : 392,013 = 392,013 : x
  2. Step 2: Convert to fraction form
    180,333/392,013 = 392,013/x
  3. Step 3: Cross multiply
    180,333x = 392,013 × 392,013
  4. Step 4: Simplify right side
    180,333x = 153,674,192,169
  5. Step 5: Solve for x
    x = 153,674,192,169/180,333
  6. Step 6: Final answer
    x = 852,169.00

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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.