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Finding the Third Proportional to 240,030 and 322,080

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Solution

The third proportional to 240,030 and 322,080 is: 432,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,030 : 322,080 = 322,080 : x
  2. Step 2: Convert to fraction form
    240,030/322,080 = 322,080/x
  3. Step 3: Cross multiply
    240,030x = 322,080 × 322,080
  4. Step 4: Simplify right side
    240,030x = 103,735,526,400
  5. Step 5: Solve for x
    x = 103,735,526,400/240,030
  6. Step 6: Final answer
    x = 432,177.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.