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Finding the Third Proportional to 210,652.50 and 450,951

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Solution

The third proportional to 210,652.50 and 450,951 is: 965,366.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,652.50 : 450,951 = 450,951 : x
  2. Step 2: Convert to fraction form
    210,652.50/450,951 = 450,951/x
  3. Step 3: Cross multiply
    210,652.50x = 450,951 × 450,951
  4. Step 4: Simplify right side
    210,652.50x = 203,356,804,401
  5. Step 5: Solve for x
    x = 203,356,804,401/210,652.50
  6. Step 6: Final answer
    x = 965,366.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.