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Finding the Third Proportional to 210,326 and 450,180

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Solution

The third proportional to 210,326 and 450,180 is: 963,561.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,326 : 450,180 = 450,180 : x
  2. Step 2: Convert to fraction form
    210,326/450,180 = 450,180/x
  3. Step 3: Cross multiply
    210,326x = 450,180 × 450,180
  4. Step 4: Simplify right side
    210,326x = 202,662,032,400
  5. Step 5: Solve for x
    x = 202,662,032,400/210,326
  6. Step 6: Final answer
    x = 963,561.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.