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Finding the Third Proportional to 174,779.25 and 382,906.13

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Solution

The third proportional to 174,779.25 and 382,906.13 is: 838,870.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,779.25 : 382,906.13 = 382,906.13 : x
  2. Step 2: Convert to fraction form
    174,779.25/382,906.13 = 382,906.13/x
  3. Step 3: Cross multiply
    174,779.25x = 382,906.13 × 382,906.13
  4. Step 4: Simplify right side
    174,779.25x = 146,617,100,562.52
  5. Step 5: Solve for x
    x = 146,617,100,562.52/174,779.25
  6. Step 6: Final answer
    x = 838,870.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.