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Finding the Third Proportional to 248,146.50 and 525,543

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Solution

The third proportional to 248,146.50 and 525,543 is: 1,113,033.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,146.50 : 525,543 = 525,543 : x
  2. Step 2: Convert to fraction form
    248,146.50/525,543 = 525,543/x
  3. Step 3: Cross multiply
    248,146.50x = 525,543 × 525,543
  4. Step 4: Simplify right side
    248,146.50x = 276,195,444,849
  5. Step 5: Solve for x
    x = 276,195,444,849/248,146.50
  6. Step 6: Final answer
    x = 1,113,033.81

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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.