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Finding the Third Proportional to 170,913 and 265,329

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Solution

The third proportional to 170,913 and 265,329 is: 411,902.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,913 : 265,329 = 265,329 : x
  2. Step 2: Convert to fraction form
    170,913/265,329 = 265,329/x
  3. Step 3: Cross multiply
    170,913x = 265,329 × 265,329
  4. Step 4: Simplify right side
    170,913x = 70,399,478,241
  5. Step 5: Solve for x
    x = 70,399,478,241/170,913
  6. Step 6: Final answer
    x = 411,902.42

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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.