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Finding the Third Proportional to 210,363.75 and 456,394.50

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Solution

The third proportional to 210,363.75 and 456,394.50 is: 990,170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,363.75 : 456,394.50 = 456,394.50 : x
  2. Step 2: Convert to fraction form
    210,363.75/456,394.50 = 456,394.50/x
  3. Step 3: Cross multiply
    210,363.75x = 456,394.50 × 456,394.50
  4. Step 4: Simplify right side
    210,363.75x = 208,295,939,630.25
  5. Step 5: Solve for x
    x = 208,295,939,630.25/210,363.75
  6. Step 6: Final answer
    x = 990,170.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.