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Finding the Third Proportional to 115,390 and 174,623

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Solution

The third proportional to 115,390 and 174,623 is: 264,262.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,390 : 174,623 = 174,623 : x
  2. Step 2: Convert to fraction form
    115,390/174,623 = 174,623/x
  3. Step 3: Cross multiply
    115,390x = 174,623 × 174,623
  4. Step 4: Simplify right side
    115,390x = 30,493,192,129
  5. Step 5: Solve for x
    x = 30,493,192,129/115,390
  6. Step 6: Final answer
    x = 264,262.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.