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Finding the Third Proportional to 178,124 and 238,386

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Solution

The third proportional to 178,124 and 238,386 is: 319,035.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,124 : 238,386 = 238,386 : x
  2. Step 2: Convert to fraction form
    178,124/238,386 = 238,386/x
  3. Step 3: Cross multiply
    178,124x = 238,386 × 238,386
  4. Step 4: Simplify right side
    178,124x = 56,827,884,996
  5. Step 5: Solve for x
    x = 56,827,884,996/178,124
  6. Step 6: Final answer
    x = 319,035.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.