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Finding the Third Proportional to 208,281 and 431,331

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Solution

The third proportional to 208,281 and 431,331 is: 893,247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,281 : 431,331 = 431,331 : x
  2. Step 2: Convert to fraction form
    208,281/431,331 = 431,331/x
  3. Step 3: Cross multiply
    208,281x = 431,331 × 431,331
  4. Step 4: Simplify right side
    208,281x = 186,046,431,561
  5. Step 5: Solve for x
    x = 186,046,431,561/208,281
  6. Step 6: Final answer
    x = 893,247.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.