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Finding the Third Proportional to 241,095 and 525,037.50

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Solution

The third proportional to 241,095 and 525,037.50 is: 1,143,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,095 : 525,037.50 = 525,037.50 : x
  2. Step 2: Convert to fraction form
    241,095/525,037.50 = 525,037.50/x
  3. Step 3: Cross multiply
    241,095x = 525,037.50 × 525,037.50
  4. Step 4: Simplify right side
    241,095x = 275,664,376,406.25
  5. Step 5: Solve for x
    x = 275,664,376,406.25/241,095
  6. Step 6: Final answer
    x = 1,143,384.87

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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.