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Finding the Third Proportional to 178,536 and 236,943

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Solution

The third proportional to 178,536 and 236,943 is: 314,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,536 : 236,943 = 236,943 : x
  2. Step 2: Convert to fraction form
    178,536/236,943 = 236,943/x
  3. Step 3: Cross multiply
    178,536x = 236,943 × 236,943
  4. Step 4: Simplify right side
    178,536x = 56,141,985,249
  5. Step 5: Solve for x
    x = 56,141,985,249/178,536
  6. Step 6: Final answer
    x = 314,457.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.