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Finding the Third Proportional to 176,564 and 265,240

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Solution

The third proportional to 176,564 and 265,240 is: 398,451.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,564 : 265,240 = 265,240 : x
  2. Step 2: Convert to fraction form
    176,564/265,240 = 265,240/x
  3. Step 3: Cross multiply
    176,564x = 265,240 × 265,240
  4. Step 4: Simplify right side
    176,564x = 70,352,257,600
  5. Step 5: Solve for x
    x = 70,352,257,600/176,564
  6. Step 6: Final answer
    x = 398,451.88

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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.