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Finding the Third Proportional to 176,670 and 386,984

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Solution

The third proportional to 176,670 and 386,984 is: 847,662.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,670 : 386,984 = 386,984 : x
  2. Step 2: Convert to fraction form
    176,670/386,984 = 386,984/x
  3. Step 3: Cross multiply
    176,670x = 386,984 × 386,984
  4. Step 4: Simplify right side
    176,670x = 149,756,616,256
  5. Step 5: Solve for x
    x = 149,756,616,256/176,670
  6. Step 6: Final answer
    x = 847,662.97

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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.