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Finding the Third Proportional to 174,840 and 364,440

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Solution

The third proportional to 174,840 and 364,440 is: 759,646.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,840 : 364,440 = 364,440 : x
  2. Step 2: Convert to fraction form
    174,840/364,440 = 364,440/x
  3. Step 3: Cross multiply
    174,840x = 364,440 × 364,440
  4. Step 4: Simplify right side
    174,840x = 132,816,513,600
  5. Step 5: Solve for x
    x = 132,816,513,600/174,840
  6. Step 6: Final answer
    x = 759,646.04

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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.