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Finding the Third Proportional to 170,960 and 265,402

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Solution

The third proportional to 170,960 and 265,402 is: 412,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,960 : 265,402 = 265,402 : x
  2. Step 2: Convert to fraction form
    170,960/265,402 = 265,402/x
  3. Step 3: Cross multiply
    170,960x = 265,402 × 265,402
  4. Step 4: Simplify right side
    170,960x = 70,438,221,604
  5. Step 5: Solve for x
    x = 70,438,221,604/170,960
  6. Step 6: Final answer
    x = 412,015.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.