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Finding the Third Proportional to 186,501 and 281,307

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Solution

The third proportional to 186,501 and 281,307 is: 424,306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,501 : 281,307 = 281,307 : x
  2. Step 2: Convert to fraction form
    186,501/281,307 = 281,307/x
  3. Step 3: Cross multiply
    186,501x = 281,307 × 281,307
  4. Step 4: Simplify right side
    186,501x = 79,133,628,249
  5. Step 5: Solve for x
    x = 79,133,628,249/186,501
  6. Step 6: Final answer
    x = 424,306.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.