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Finding the Third Proportional to 115,232 and 175,178

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Solution

The third proportional to 115,232 and 175,178 is: 266,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,232 : 175,178 = 175,178 : x
  2. Step 2: Convert to fraction form
    115,232/175,178 = 175,178/x
  3. Step 3: Cross multiply
    115,232x = 175,178 × 175,178
  4. Step 4: Simplify right side
    115,232x = 30,687,331,684
  5. Step 5: Solve for x
    x = 30,687,331,684/115,232
  6. Step 6: Final answer
    x = 266,309.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.