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Finding the Third Proportional to 165,036 and 240,498

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Solution

The third proportional to 165,036 and 240,498 is: 350,464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,036 : 240,498 = 240,498 : x
  2. Step 2: Convert to fraction form
    165,036/240,498 = 240,498/x
  3. Step 3: Cross multiply
    165,036x = 240,498 × 240,498
  4. Step 4: Simplify right side
    165,036x = 57,839,288,004
  5. Step 5: Solve for x
    x = 57,839,288,004/165,036
  6. Step 6: Final answer
    x = 350,464.67

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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.