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Finding the Third Proportional to 229,036 and 342,501

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Solution

The third proportional to 229,036 and 342,501 is: 512,176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,036 : 342,501 = 342,501 : x
  2. Step 2: Convert to fraction form
    229,036/342,501 = 342,501/x
  3. Step 3: Cross multiply
    229,036x = 342,501 × 342,501
  4. Step 4: Simplify right side
    229,036x = 117,306,935,001
  5. Step 5: Solve for x
    x = 117,306,935,001/229,036
  6. Step 6: Final answer
    x = 512,176.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.