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Finding the Third Proportional to 142,308 and 223,230

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Solution

The third proportional to 142,308 and 223,230 is: 350,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,308 : 223,230 = 223,230 : x
  2. Step 2: Convert to fraction form
    142,308/223,230 = 223,230/x
  3. Step 3: Cross multiply
    142,308x = 223,230 × 223,230
  4. Step 4: Simplify right side
    142,308x = 49,831,632,900
  5. Step 5: Solve for x
    x = 49,831,632,900/142,308
  6. Step 6: Final answer
    x = 350,167.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.