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Finding the Third Proportional to 176,148 and 392,636

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Solution

The third proportional to 176,148 and 392,636 is: 875,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,148 : 392,636 = 392,636 : x
  2. Step 2: Convert to fraction form
    176,148/392,636 = 392,636/x
  3. Step 3: Cross multiply
    176,148x = 392,636 × 392,636
  4. Step 4: Simplify right side
    176,148x = 154,163,028,496
  5. Step 5: Solve for x
    x = 154,163,028,496/176,148
  6. Step 6: Final answer
    x = 875,190.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.