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Finding the Third Proportional to 170,125.31 and 256,554.84

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Solution

The third proportional to 170,125.31 and 256,554.84 is: 386,893.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,125.31 : 256,554.84 = 256,554.84 : x
  2. Step 2: Convert to fraction form
    170,125.31/256,554.84 = 256,554.84/x
  3. Step 3: Cross multiply
    170,125.31x = 256,554.84 × 256,554.84
  4. Step 4: Simplify right side
    170,125.31x = 65,820,387,851.59
  5. Step 5: Solve for x
    x = 65,820,387,851.59/170,125.31
  6. Step 6: Final answer
    x = 386,893.56

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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.