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Finding the Third Proportional to 207,000 and 316,536

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Solution

The third proportional to 207,000 and 316,536 is: 484,034.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,000 : 316,536 = 316,536 : x
  2. Step 2: Convert to fraction form
    207,000/316,536 = 316,536/x
  3. Step 3: Cross multiply
    207,000x = 316,536 × 316,536
  4. Step 4: Simplify right side
    207,000x = 100,195,039,296
  5. Step 5: Solve for x
    x = 100,195,039,296/207,000
  6. Step 6: Final answer
    x = 484,034.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.