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Finding the Third Proportional to 170,301 and 257,810

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Solution

The third proportional to 170,301 and 257,810 is: 390,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,301 : 257,810 = 257,810 : x
  2. Step 2: Convert to fraction form
    170,301/257,810 = 257,810/x
  3. Step 3: Cross multiply
    170,301x = 257,810 × 257,810
  4. Step 4: Simplify right side
    170,301x = 66,465,996,100
  5. Step 5: Solve for x
    x = 66,465,996,100/170,301
  6. Step 6: Final answer
    x = 390,285.41

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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.