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Finding the Third Proportional to 170,076 and 265,450

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Solution

The third proportional to 170,076 and 265,450 is: 414,307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,076 : 265,450 = 265,450 : x
  2. Step 2: Convert to fraction form
    170,076/265,450 = 265,450/x
  3. Step 3: Cross multiply
    170,076x = 265,450 × 265,450
  4. Step 4: Simplify right side
    170,076x = 70,463,702,500
  5. Step 5: Solve for x
    x = 70,463,702,500/170,076
  6. Step 6: Final answer
    x = 414,307.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.