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Finding the Third Proportional to 176,160 and 369,552

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Solution

The third proportional to 176,160 and 369,552 is: 775,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,160 : 369,552 = 369,552 : x
  2. Step 2: Convert to fraction form
    176,160/369,552 = 369,552/x
  3. Step 3: Cross multiply
    176,160x = 369,552 × 369,552
  4. Step 4: Simplify right side
    176,160x = 136,568,680,704
  5. Step 5: Solve for x
    x = 136,568,680,704/176,160
  6. Step 6: Final answer
    x = 775,253.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.