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Finding the Third Proportional to 169,014 and 245,580

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Solution

The third proportional to 169,014 and 245,580 is: 356,831.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,014 : 245,580 = 245,580 : x
  2. Step 2: Convert to fraction form
    169,014/245,580 = 245,580/x
  3. Step 3: Cross multiply
    169,014x = 245,580 × 245,580
  4. Step 4: Simplify right side
    169,014x = 60,309,536,400
  5. Step 5: Solve for x
    x = 60,309,536,400/169,014
  6. Step 6: Final answer
    x = 356,831.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.