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Finding the Third Proportional to 175,084 and 384,207

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Solution

The third proportional to 175,084 and 384,207 is: 843,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,084 : 384,207 = 384,207 : x
  2. Step 2: Convert to fraction form
    175,084/384,207 = 384,207/x
  3. Step 3: Cross multiply
    175,084x = 384,207 × 384,207
  4. Step 4: Simplify right side
    175,084x = 147,615,018,849
  5. Step 5: Solve for x
    x = 147,615,018,849/175,084
  6. Step 6: Final answer
    x = 843,109.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.