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Finding the Third Proportional to 190,025 and 410,499

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Solution

The third proportional to 190,025 and 410,499 is: 886,775.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,025 : 410,499 = 410,499 : x
  2. Step 2: Convert to fraction form
    190,025/410,499 = 410,499/x
  3. Step 3: Cross multiply
    190,025x = 410,499 × 410,499
  4. Step 4: Simplify right side
    190,025x = 168,509,429,001
  5. Step 5: Solve for x
    x = 168,509,429,001/190,025
  6. Step 6: Final answer
    x = 886,775.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.