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Finding the Third Proportional to 256,132 and 375,894

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Solution

The third proportional to 256,132 and 375,894 is: 551,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,132 : 375,894 = 375,894 : x
  2. Step 2: Convert to fraction form
    256,132/375,894 = 375,894/x
  3. Step 3: Cross multiply
    256,132x = 375,894 × 375,894
  4. Step 4: Simplify right side
    256,132x = 141,296,299,236
  5. Step 5: Solve for x
    x = 141,296,299,236/256,132
  6. Step 6: Final answer
    x = 551,654.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.