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Finding the Third Proportional to 176,068 and 343,316

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Solution

The third proportional to 176,068 and 343,316 is: 669,433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,068 : 343,316 = 343,316 : x
  2. Step 2: Convert to fraction form
    176,068/343,316 = 343,316/x
  3. Step 3: Cross multiply
    176,068x = 343,316 × 343,316
  4. Step 4: Simplify right side
    176,068x = 117,865,875,856
  5. Step 5: Solve for x
    x = 117,865,875,856/176,068
  6. Step 6: Final answer
    x = 669,433.83

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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.