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Finding the Third Proportional to 176,690 and 384,484

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Solution

The third proportional to 176,690 and 384,484 is: 836,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,690 : 384,484 = 384,484 : x
  2. Step 2: Convert to fraction form
    176,690/384,484 = 384,484/x
  3. Step 3: Cross multiply
    176,690x = 384,484 × 384,484
  4. Step 4: Simplify right side
    176,690x = 147,827,946,256
  5. Step 5: Solve for x
    x = 147,827,946,256/176,690
  6. Step 6: Final answer
    x = 836,651.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.