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Finding the Third Proportional to 165,024 and 240,192

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Solution

The third proportional to 165,024 and 240,192 is: 349,598.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,024 : 240,192 = 240,192 : x
  2. Step 2: Convert to fraction form
    165,024/240,192 = 240,192/x
  3. Step 3: Cross multiply
    165,024x = 240,192 × 240,192
  4. Step 4: Simplify right side
    165,024x = 57,692,196,864
  5. Step 5: Solve for x
    x = 57,692,196,864/165,024
  6. Step 6: Final answer
    x = 349,598.83

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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.