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Finding the Third Proportional to 230,148 and 353,270

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Solution

The third proportional to 230,148 and 353,270 is: 542,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,148 : 353,270 = 353,270 : x
  2. Step 2: Convert to fraction form
    230,148/353,270 = 353,270/x
  3. Step 3: Cross multiply
    230,148x = 353,270 × 353,270
  4. Step 4: Simplify right side
    230,148x = 124,799,692,900
  5. Step 5: Solve for x
    x = 124,799,692,900/230,148
  6. Step 6: Final answer
    x = 542,258.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.