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Finding the Third Proportional to 136,420 and 210,464

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Solution

The third proportional to 136,420 and 210,464 is: 324,696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,420 : 210,464 = 210,464 : x
  2. Step 2: Convert to fraction form
    136,420/210,464 = 210,464/x
  3. Step 3: Cross multiply
    136,420x = 210,464 × 210,464
  4. Step 4: Simplify right side
    136,420x = 44,295,095,296
  5. Step 5: Solve for x
    x = 44,295,095,296/136,420
  6. Step 6: Final answer
    x = 324,696.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.