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Finding the Third Proportional to 163,090.50 and 248,851.50

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Solution

The third proportional to 163,090.50 and 248,851.50 is: 379,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,090.50 : 248,851.50 = 248,851.50 : x
  2. Step 2: Convert to fraction form
    163,090.50/248,851.50 = 248,851.50/x
  3. Step 3: Cross multiply
    163,090.50x = 248,851.50 × 248,851.50
  4. Step 4: Simplify right side
    163,090.50x = 61,927,069,052.25
  5. Step 5: Solve for x
    x = 61,927,069,052.25/163,090.50
  6. Step 6: Final answer
    x = 379,709.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.