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Finding the Third Proportional to 172,032 and 265,710

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Solution

The third proportional to 172,032 and 265,710 is: 410,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,032 : 265,710 = 265,710 : x
  2. Step 2: Convert to fraction form
    172,032/265,710 = 265,710/x
  3. Step 3: Cross multiply
    172,032x = 265,710 × 265,710
  4. Step 4: Simplify right side
    172,032x = 70,601,804,100
  5. Step 5: Solve for x
    x = 70,601,804,100/172,032
  6. Step 6: Final answer
    x = 410,399.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.