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Finding the Third Proportional to 241,177.50 and 525,213

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Solution

The third proportional to 241,177.50 and 525,213 is: 1,143,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,177.50 : 525,213 = 525,213 : x
  2. Step 2: Convert to fraction form
    241,177.50/525,213 = 525,213/x
  3. Step 3: Cross multiply
    241,177.50x = 525,213 × 525,213
  4. Step 4: Simplify right side
    241,177.50x = 275,848,695,369
  5. Step 5: Solve for x
    x = 275,848,695,369/241,177.50
  6. Step 6: Final answer
    x = 1,143,758.00

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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.