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Finding the Third Proportional to 176,104 and 358,336

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Solution

The third proportional to 176,104 and 358,336 is: 729,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,104 : 358,336 = 358,336 : x
  2. Step 2: Convert to fraction form
    176,104/358,336 = 358,336/x
  3. Step 3: Cross multiply
    176,104x = 358,336 × 358,336
  4. Step 4: Simplify right side
    176,104x = 128,404,688,896
  5. Step 5: Solve for x
    x = 128,404,688,896/176,104
  6. Step 6: Final answer
    x = 729,141.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.