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Finding the Third Proportional to 178,407.56 and 262,683

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Solution

The third proportional to 178,407.56 and 262,683 is: 386,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,407.56 : 262,683 = 262,683 : x
  2. Step 2: Convert to fraction form
    178,407.56/262,683 = 262,683/x
  3. Step 3: Cross multiply
    178,407.56x = 262,683 × 262,683
  4. Step 4: Simplify right side
    178,407.56x = 69,002,358,489
  5. Step 5: Solve for x
    x = 69,002,358,489/178,407.56
  6. Step 6: Final answer
    x = 386,768.13

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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.