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Finding the Third Proportional to 145,600 and 315,968

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Solution

The third proportional to 145,600 and 315,968 is: 685,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,600 : 315,968 = 315,968 : x
  2. Step 2: Convert to fraction form
    145,600/315,968 = 315,968/x
  3. Step 3: Cross multiply
    145,600x = 315,968 × 315,968
  4. Step 4: Simplify right side
    145,600x = 99,835,777,024
  5. Step 5: Solve for x
    x = 99,835,777,024/145,600
  6. Step 6: Final answer
    x = 685,685.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.