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Finding the Third Proportional to 282,130.50 and 382,736.25

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Solution

The third proportional to 282,130.50 and 382,736.25 is: 519,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,130.50 : 382,736.25 = 382,736.25 : x
  2. Step 2: Convert to fraction form
    282,130.50/382,736.25 = 382,736.25/x
  3. Step 3: Cross multiply
    282,130.50x = 382,736.25 × 382,736.25
  4. Step 4: Simplify right side
    282,130.50x = 146,487,037,064.06
  5. Step 5: Solve for x
    x = 146,487,037,064.06/282,130.50
  6. Step 6: Final answer
    x = 519,217.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.