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Finding the Third Proportional to 104,130 and 223,326

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Solution

The third proportional to 104,130 and 223,326 is: 478,963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,130 : 223,326 = 223,326 : x
  2. Step 2: Convert to fraction form
    104,130/223,326 = 223,326/x
  3. Step 3: Cross multiply
    104,130x = 223,326 × 223,326
  4. Step 4: Simplify right side
    104,130x = 49,874,502,276
  5. Step 5: Solve for x
    x = 49,874,502,276/104,130
  6. Step 6: Final answer
    x = 478,963.82

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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.