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Finding the Third Proportional to 182,203.50 and 399,394.50

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Solution

The third proportional to 182,203.50 and 399,394.50 is: 875,482.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,203.50 : 399,394.50 = 399,394.50 : x
  2. Step 2: Convert to fraction form
    182,203.50/399,394.50 = 399,394.50/x
  3. Step 3: Cross multiply
    182,203.50x = 399,394.50 × 399,394.50
  4. Step 4: Simplify right side
    182,203.50x = 159,515,966,630.25
  5. Step 5: Solve for x
    x = 159,515,966,630.25/182,203.50
  6. Step 6: Final answer
    x = 875,482.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.