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Finding the Third Proportional to 164,532 and 248,010

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Solution

The third proportional to 164,532 and 248,010 is: 373,841.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,532 : 248,010 = 248,010 : x
  2. Step 2: Convert to fraction form
    164,532/248,010 = 248,010/x
  3. Step 3: Cross multiply
    164,532x = 248,010 × 248,010
  4. Step 4: Simplify right side
    164,532x = 61,508,960,100
  5. Step 5: Solve for x
    x = 61,508,960,100/164,532
  6. Step 6: Final answer
    x = 373,841.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.