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Finding the Third Proportional to 145,600 and 318,142

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Solution

The third proportional to 145,600 and 318,142 is: 695,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,600 : 318,142 = 318,142 : x
  2. Step 2: Convert to fraction form
    145,600/318,142 = 318,142/x
  3. Step 3: Cross multiply
    145,600x = 318,142 × 318,142
  4. Step 4: Simplify right side
    145,600x = 101,214,332,164
  5. Step 5: Solve for x
    x = 101,214,332,164/145,600
  6. Step 6: Final answer
    x = 695,153.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.