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Finding the Third Proportional to 176,160 and 387,168

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Solution

The third proportional to 176,160 and 387,168 is: 850,925.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,160 : 387,168 = 387,168 : x
  2. Step 2: Convert to fraction form
    176,160/387,168 = 387,168/x
  3. Step 3: Cross multiply
    176,160x = 387,168 × 387,168
  4. Step 4: Simplify right side
    176,160x = 149,899,060,224
  5. Step 5: Solve for x
    x = 149,899,060,224/176,160
  6. Step 6: Final answer
    x = 850,925.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.