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Finding the Third Proportional to 174,532 and 369,836

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Solution

The third proportional to 174,532 and 369,836 is: 783,688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,532 : 369,836 = 369,836 : x
  2. Step 2: Convert to fraction form
    174,532/369,836 = 369,836/x
  3. Step 3: Cross multiply
    174,532x = 369,836 × 369,836
  4. Step 4: Simplify right side
    174,532x = 136,778,666,896
  5. Step 5: Solve for x
    x = 136,778,666,896/174,532
  6. Step 6: Final answer
    x = 783,688.19

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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.