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Finding the Third Proportional to 117,356 and 176,582

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Solution

The third proportional to 117,356 and 176,582 is: 265,697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,356 : 176,582 = 176,582 : x
  2. Step 2: Convert to fraction form
    117,356/176,582 = 176,582/x
  3. Step 3: Cross multiply
    117,356x = 176,582 × 176,582
  4. Step 4: Simplify right side
    117,356x = 31,181,202,724
  5. Step 5: Solve for x
    x = 31,181,202,724/117,356
  6. Step 6: Final answer
    x = 265,697.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.