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Finding the Third Proportional to 180,210 and 371,844

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Solution

The third proportional to 180,210 and 371,844 is: 767,260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,210 : 371,844 = 371,844 : x
  2. Step 2: Convert to fraction form
    180,210/371,844 = 371,844/x
  3. Step 3: Cross multiply
    180,210x = 371,844 × 371,844
  4. Step 4: Simplify right side
    180,210x = 138,267,960,336
  5. Step 5: Solve for x
    x = 138,267,960,336/180,210
  6. Step 6: Final answer
    x = 767,260.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.