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Finding the Third Proportional to 229,182.75 and 349,707.38

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Solution

The third proportional to 229,182.75 and 349,707.38 is: 533,614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,182.75 : 349,707.38 = 349,707.38 : x
  2. Step 2: Convert to fraction form
    229,182.75/349,707.38 = 349,707.38/x
  3. Step 3: Cross multiply
    229,182.75x = 349,707.38 × 349,707.38
  4. Step 4: Simplify right side
    229,182.75x = 122,295,248,129.39
  5. Step 5: Solve for x
    x = 122,295,248,129.39/229,182.75
  6. Step 6: Final answer
    x = 533,614.54

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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.