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Finding the Third Proportional to 210,847.50 and 464,895

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Solution

The third proportional to 210,847.50 and 464,895 is: 1,025,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,847.50 : 464,895 = 464,895 : x
  2. Step 2: Convert to fraction form
    210,847.50/464,895 = 464,895/x
  3. Step 3: Cross multiply
    210,847.50x = 464,895 × 464,895
  4. Step 4: Simplify right side
    210,847.50x = 216,127,361,025
  5. Step 5: Solve for x
    x = 216,127,361,025/210,847.50
  6. Step 6: Final answer
    x = 1,025,041.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.