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Finding the Third Proportional to 112,362 and 238,576

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Solution

The third proportional to 112,362 and 238,576 is: 506,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,362 : 238,576 = 238,576 : x
  2. Step 2: Convert to fraction form
    112,362/238,576 = 238,576/x
  3. Step 3: Cross multiply
    112,362x = 238,576 × 238,576
  4. Step 4: Simplify right side
    112,362x = 56,918,507,776
  5. Step 5: Solve for x
    x = 56,918,507,776/112,362
  6. Step 6: Final answer
    x = 506,563.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.