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Finding the Third Proportional to 176,280 and 343,704

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Solution

The third proportional to 176,280 and 343,704 is: 670,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,280 : 343,704 = 343,704 : x
  2. Step 2: Convert to fraction form
    176,280/343,704 = 343,704/x
  3. Step 3: Cross multiply
    176,280x = 343,704 × 343,704
  4. Step 4: Simplify right side
    176,280x = 118,132,439,616
  5. Step 5: Solve for x
    x = 118,132,439,616/176,280
  6. Step 6: Final answer
    x = 670,140.91

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.