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Finding the Third Proportional to 200,803.50 and 322,852.50

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Solution

The third proportional to 200,803.50 and 322,852.50 is: 519,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,803.50 : 322,852.50 = 322,852.50 : x
  2. Step 2: Convert to fraction form
    200,803.50/322,852.50 = 322,852.50/x
  3. Step 3: Cross multiply
    200,803.50x = 322,852.50 × 322,852.50
  4. Step 4: Simplify right side
    200,803.50x = 104,233,736,756.25
  5. Step 5: Solve for x
    x = 104,233,736,756.25/200,803.50
  6. Step 6: Final answer
    x = 519,083.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.