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Finding the Third Proportional to 165,030 and 240,489

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Solution

The third proportional to 165,030 and 240,489 is: 350,451.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,030 : 240,489 = 240,489 : x
  2. Step 2: Convert to fraction form
    165,030/240,489 = 240,489/x
  3. Step 3: Cross multiply
    165,030x = 240,489 × 240,489
  4. Step 4: Simplify right side
    165,030x = 57,834,959,121
  5. Step 5: Solve for x
    x = 57,834,959,121/165,030
  6. Step 6: Final answer
    x = 350,451.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.