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Finding the Third Proportional to 165,288 and 358,044

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Solution

The third proportional to 165,288 and 358,044 is: 775,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,288 : 358,044 = 358,044 : x
  2. Step 2: Convert to fraction form
    165,288/358,044 = 358,044/x
  3. Step 3: Cross multiply
    165,288x = 358,044 × 358,044
  4. Step 4: Simplify right side
    165,288x = 128,195,505,936
  5. Step 5: Solve for x
    x = 128,195,505,936/165,288
  6. Step 6: Final answer
    x = 775,588.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.