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Finding the Third Proportional to 213,025.50 and 459,265.50

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Solution

The third proportional to 213,025.50 and 459,265.50 is: 990,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,025.50 : 459,265.50 = 459,265.50 : x
  2. Step 2: Convert to fraction form
    213,025.50/459,265.50 = 459,265.50/x
  3. Step 3: Cross multiply
    213,025.50x = 459,265.50 × 459,265.50
  4. Step 4: Simplify right side
    213,025.50x = 210,924,799,490.25
  5. Step 5: Solve for x
    x = 210,924,799,490.25/213,025.50
  6. Step 6: Final answer
    x = 990,138.74

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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.