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Finding the Third Proportional to 207,548 and 311,321

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Solution

The third proportional to 207,548 and 311,321 is: 466,980.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,548 : 311,321 = 311,321 : x
  2. Step 2: Convert to fraction form
    207,548/311,321 = 311,321/x
  3. Step 3: Cross multiply
    207,548x = 311,321 × 311,321
  4. Step 4: Simplify right side
    207,548x = 96,920,765,041
  5. Step 5: Solve for x
    x = 96,920,765,041/207,548
  6. Step 6: Final answer
    x = 466,980.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.