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Finding the Third Proportional to 138,235 and 301,481

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Solution

The third proportional to 138,235 and 301,481 is: 657,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,235 : 301,481 = 301,481 : x
  2. Step 2: Convert to fraction form
    138,235/301,481 = 301,481/x
  3. Step 3: Cross multiply
    138,235x = 301,481 × 301,481
  4. Step 4: Simplify right side
    138,235x = 90,890,793,361
  5. Step 5: Solve for x
    x = 90,890,793,361/138,235
  6. Step 6: Final answer
    x = 657,509.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.