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Finding the Third Proportional to 164,490 and 351,148

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Solution

The third proportional to 164,490 and 351,148 is: 749,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,490 : 351,148 = 351,148 : x
  2. Step 2: Convert to fraction form
    164,490/351,148 = 351,148/x
  3. Step 3: Cross multiply
    164,490x = 351,148 × 351,148
  4. Step 4: Simplify right side
    164,490x = 123,304,917,904
  5. Step 5: Solve for x
    x = 123,304,917,904/164,490
  6. Step 6: Final answer
    x = 749,619.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.