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Finding the Third Proportional to 145,816.88 and 303,273

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Solution

The third proportional to 145,816.88 and 303,273 is: 630,753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,816.88 : 303,273 = 303,273 : x
  2. Step 2: Convert to fraction form
    145,816.88/303,273 = 303,273/x
  3. Step 3: Cross multiply
    145,816.88x = 303,273 × 303,273
  4. Step 4: Simplify right side
    145,816.88x = 91,974,512,529
  5. Step 5: Solve for x
    x = 91,974,512,529/145,816.88
  6. Step 6: Final answer
    x = 630,753.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.