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Finding the Third Proportional to 108,405 and 237,222

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Solution

The third proportional to 108,405 and 237,222 is: 519,111.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,405 : 237,222 = 237,222 : x
  2. Step 2: Convert to fraction form
    108,405/237,222 = 237,222/x
  3. Step 3: Cross multiply
    108,405x = 237,222 × 237,222
  4. Step 4: Simplify right side
    108,405x = 56,274,277,284
  5. Step 5: Solve for x
    x = 56,274,277,284/108,405
  6. Step 6: Final answer
    x = 519,111.46

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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.