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Finding the Third Proportional to 170,510.25 and 254,712.38

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Solution

The third proportional to 170,510.25 and 254,712.38 is: 380,495.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,510.25 : 254,712.38 = 254,712.38 : x
  2. Step 2: Convert to fraction form
    170,510.25/254,712.38 = 254,712.38/x
  3. Step 3: Cross multiply
    170,510.25x = 254,712.38 × 254,712.38
  4. Step 4: Simplify right side
    170,510.25x = 64,878,393,978.14
  5. Step 5: Solve for x
    x = 64,878,393,978.14/170,510.25
  6. Step 6: Final answer
    x = 380,495.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.