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Finding the Third Proportional to 179,988.75 and 382,113.28

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Solution

The third proportional to 179,988.75 and 382,113.28 is: 811,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,988.75 : 382,113.28 = 382,113.28 : x
  2. Step 2: Convert to fraction form
    179,988.75/382,113.28 = 382,113.28/x
  3. Step 3: Cross multiply
    179,988.75x = 382,113.28 × 382,113.28
  4. Step 4: Simplify right side
    179,988.75x = 146,010,559,707.64
  5. Step 5: Solve for x
    x = 146,010,559,707.64/179,988.75
  6. Step 6: Final answer
    x = 811,220.48

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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.