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Finding the Third Proportional to 148,824 and 230,148

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Solution

The third proportional to 148,824 and 230,148 is: 355,911.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,824 : 230,148 = 230,148 : x
  2. Step 2: Convert to fraction form
    148,824/230,148 = 230,148/x
  3. Step 3: Cross multiply
    148,824x = 230,148 × 230,148
  4. Step 4: Simplify right side
    148,824x = 52,968,101,904
  5. Step 5: Solve for x
    x = 52,968,101,904/148,824
  6. Step 6: Final answer
    x = 355,911.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.