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Finding the Third Proportional to 200,980.69 and 319,921.03

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Solution

The third proportional to 200,980.69 and 319,921.03 is: 509,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,980.69 : 319,921.03 = 319,921.03 : x
  2. Step 2: Convert to fraction form
    200,980.69/319,921.03 = 319,921.03/x
  3. Step 3: Cross multiply
    200,980.69x = 319,921.03 × 319,921.03
  4. Step 4: Simplify right side
    200,980.69x = 102,349,466,236.06
  5. Step 5: Solve for x
    x = 102,349,466,236.06/200,980.69
  6. Step 6: Final answer
    x = 509,250.25

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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.