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Finding the Third Proportional to 239,952 and 525,102

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Solution

The third proportional to 239,952 and 525,102 is: 1,149,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,952 : 525,102 = 525,102 : x
  2. Step 2: Convert to fraction form
    239,952/525,102 = 525,102/x
  3. Step 3: Cross multiply
    239,952x = 525,102 × 525,102
  4. Step 4: Simplify right side
    239,952x = 275,732,110,404
  5. Step 5: Solve for x
    x = 275,732,110,404/239,952
  6. Step 6: Final answer
    x = 1,149,113.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.