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Finding the Third Proportional to 165,270 and 358,017

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Solution

The third proportional to 165,270 and 358,017 is: 775,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,270 : 358,017 = 358,017 : x
  2. Step 2: Convert to fraction form
    165,270/358,017 = 358,017/x
  3. Step 3: Cross multiply
    165,270x = 358,017 × 358,017
  4. Step 4: Simplify right side
    165,270x = 128,176,172,289
  5. Step 5: Solve for x
    x = 128,176,172,289/165,270
  6. Step 6: Final answer
    x = 775,556.19

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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.