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Finding the Third Proportional to 113,650 and 178,283

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Solution

The third proportional to 113,650 and 178,283 is: 279,672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,650 : 178,283 = 178,283 : x
  2. Step 2: Convert to fraction form
    113,650/178,283 = 178,283/x
  3. Step 3: Cross multiply
    113,650x = 178,283 × 178,283
  4. Step 4: Simplify right side
    113,650x = 31,784,828,089
  5. Step 5: Solve for x
    x = 31,784,828,089/113,650
  6. Step 6: Final answer
    x = 279,672.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.