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Finding the Third Proportional to 123,210 and 287,937

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Solution

The third proportional to 123,210 and 287,937 is: 672,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,210 : 287,937 = 287,937 : x
  2. Step 2: Convert to fraction form
    123,210/287,937 = 287,937/x
  3. Step 3: Cross multiply
    123,210x = 287,937 × 287,937
  4. Step 4: Simplify right side
    123,210x = 82,907,715,969
  5. Step 5: Solve for x
    x = 82,907,715,969/123,210
  6. Step 6: Final answer
    x = 672,897.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.