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Finding the Third Proportional to 253,176.75 and 540,252

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Solution

The third proportional to 253,176.75 and 540,252 is: 1,152,839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,176.75 : 540,252 = 540,252 : x
  2. Step 2: Convert to fraction form
    253,176.75/540,252 = 540,252/x
  3. Step 3: Cross multiply
    253,176.75x = 540,252 × 540,252
  4. Step 4: Simplify right side
    253,176.75x = 291,872,223,504
  5. Step 5: Solve for x
    x = 291,872,223,504/253,176.75
  6. Step 6: Final answer
    x = 1,152,839.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.