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Finding the Third Proportional to 165,298 and 358,082

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Solution

The third proportional to 165,298 and 358,082 is: 775,706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,298 : 358,082 = 358,082 : x
  2. Step 2: Convert to fraction form
    165,298/358,082 = 358,082/x
  3. Step 3: Cross multiply
    165,298x = 358,082 × 358,082
  4. Step 4: Simplify right side
    165,298x = 128,222,718,724
  5. Step 5: Solve for x
    x = 128,222,718,724/165,298
  6. Step 6: Final answer
    x = 775,706.41

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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.