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Finding the Third Proportional to 128,672 and 304,144

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Solution

The third proportional to 128,672 and 304,144 is: 718,909.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,672 : 304,144 = 304,144 : x
  2. Step 2: Convert to fraction form
    128,672/304,144 = 304,144/x
  3. Step 3: Cross multiply
    128,672x = 304,144 × 304,144
  4. Step 4: Simplify right side
    128,672x = 92,503,572,736
  5. Step 5: Solve for x
    x = 92,503,572,736/128,672
  6. Step 6: Final answer
    x = 718,909.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.