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Finding the Third Proportional to 248,076 and 324,810

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Solution

The third proportional to 248,076 and 324,810 is: 425,279.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,076 : 324,810 = 324,810 : x
  2. Step 2: Convert to fraction form
    248,076/324,810 = 324,810/x
  3. Step 3: Cross multiply
    248,076x = 324,810 × 324,810
  4. Step 4: Simplify right side
    248,076x = 105,501,536,100
  5. Step 5: Solve for x
    x = 105,501,536,100/248,076
  6. Step 6: Final answer
    x = 425,279.09

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.