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Finding the Third Proportional to 173,097 and 359,953

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Solution

The third proportional to 173,097 and 359,953 is: 748,517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,097 : 359,953 = 359,953 : x
  2. Step 2: Convert to fraction form
    173,097/359,953 = 359,953/x
  3. Step 3: Cross multiply
    173,097x = 359,953 × 359,953
  4. Step 4: Simplify right side
    173,097x = 129,566,162,209
  5. Step 5: Solve for x
    x = 129,566,162,209/173,097
  6. Step 6: Final answer
    x = 748,517.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.