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Finding the Third Proportional to 110,592 and 236,968

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Solution

The third proportional to 110,592 and 236,968 is: 507,756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,592 : 236,968 = 236,968 : x
  2. Step 2: Convert to fraction form
    110,592/236,968 = 236,968/x
  3. Step 3: Cross multiply
    110,592x = 236,968 × 236,968
  4. Step 4: Simplify right side
    110,592x = 56,153,833,024
  5. Step 5: Solve for x
    x = 56,153,833,024/110,592
  6. Step 6: Final answer
    x = 507,756.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.