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Finding the Third Proportional to 176,064 and 343,308

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Solution

The third proportional to 176,064 and 343,308 is: 669,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,064 : 343,308 = 343,308 : x
  2. Step 2: Convert to fraction form
    176,064/343,308 = 343,308/x
  3. Step 3: Cross multiply
    176,064x = 343,308 × 343,308
  4. Step 4: Simplify right side
    176,064x = 117,860,382,864
  5. Step 5: Solve for x
    x = 117,860,382,864/176,064
  6. Step 6: Final answer
    x = 669,417.84

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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.