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Finding the Third Proportional to 170,893 and 368,082

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Solution

The third proportional to 170,893 and 368,082 is: 792,802.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,893 : 368,082 = 368,082 : x
  2. Step 2: Convert to fraction form
    170,893/368,082 = 368,082/x
  3. Step 3: Cross multiply
    170,893x = 368,082 × 368,082
  4. Step 4: Simplify right side
    170,893x = 135,484,358,724
  5. Step 5: Solve for x
    x = 135,484,358,724/170,893
  6. Step 6: Final answer
    x = 792,802.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.