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Finding the Third Proportional to 174,809.25 and 382,838.63

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Solution

The third proportional to 174,809.25 and 382,838.63 is: 838,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,809.25 : 382,838.63 = 382,838.63 : x
  2. Step 2: Convert to fraction form
    174,809.25/382,838.63 = 382,838.63/x
  3. Step 3: Cross multiply
    174,809.25x = 382,838.63 × 382,838.63
  4. Step 4: Simplify right side
    174,809.25x = 146,565,412,791.89
  5. Step 5: Solve for x
    x = 146,565,412,791.89/174,809.25
  6. Step 6: Final answer
    x = 838,430.53

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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.