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Finding the Third Proportional to 179,130 and 386,232

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Solution

The third proportional to 179,130 and 386,232 is: 832,775.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,130 : 386,232 = 386,232 : x
  2. Step 2: Convert to fraction form
    179,130/386,232 = 386,232/x
  3. Step 3: Cross multiply
    179,130x = 386,232 × 386,232
  4. Step 4: Simplify right side
    179,130x = 149,175,157,824
  5. Step 5: Solve for x
    x = 149,175,157,824/179,130
  6. Step 6: Final answer
    x = 832,775.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.