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Finding the Third Proportional to 176,105 and 343,386

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Solution

The third proportional to 176,105 and 343,386 is: 669,566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,105 : 343,386 = 343,386 : x
  2. Step 2: Convert to fraction form
    176,105/343,386 = 343,386/x
  3. Step 3: Cross multiply
    176,105x = 343,386 × 343,386
  4. Step 4: Simplify right side
    176,105x = 117,913,944,996
  5. Step 5: Solve for x
    x = 117,913,944,996/176,105
  6. Step 6: Final answer
    x = 669,566.14

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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.