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Finding the Third Proportional to 110,888 and 237,328

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Solution

The third proportional to 110,888 and 237,328 is: 507,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,888 : 237,328 = 237,328 : x
  2. Step 2: Convert to fraction form
    110,888/237,328 = 237,328/x
  3. Step 3: Cross multiply
    110,888x = 237,328 × 237,328
  4. Step 4: Simplify right side
    110,888x = 56,324,579,584
  5. Step 5: Solve for x
    x = 56,324,579,584/110,888
  6. Step 6: Final answer
    x = 507,941.16

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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.