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Finding the Third Proportional to 174,010 and 369,342

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Solution

The third proportional to 174,010 and 369,342 is: 783,940.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,010 : 369,342 = 369,342 : x
  2. Step 2: Convert to fraction form
    174,010/369,342 = 369,342/x
  3. Step 3: Cross multiply
    174,010x = 369,342 × 369,342
  4. Step 4: Simplify right side
    174,010x = 136,413,512,964
  5. Step 5: Solve for x
    x = 136,413,512,964/174,010
  6. Step 6: Final answer
    x = 783,940.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.