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Finding the Third Proportional to 174,985 and 382,046

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Solution

The third proportional to 174,985 and 382,046 is: 834,123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,985 : 382,046 = 382,046 : x
  2. Step 2: Convert to fraction form
    174,985/382,046 = 382,046/x
  3. Step 3: Cross multiply
    174,985x = 382,046 × 382,046
  4. Step 4: Simplify right side
    174,985x = 145,959,146,116
  5. Step 5: Solve for x
    x = 145,959,146,116/174,985
  6. Step 6: Final answer
    x = 834,123.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.