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Finding the Third Proportional to 152,988.75 and 333,195.75

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Solution

The third proportional to 152,988.75 and 333,195.75 is: 725,670.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,988.75 : 333,195.75 = 333,195.75 : x
  2. Step 2: Convert to fraction form
    152,988.75/333,195.75 = 333,195.75/x
  3. Step 3: Cross multiply
    152,988.75x = 333,195.75 × 333,195.75
  4. Step 4: Simplify right side
    152,988.75x = 111,019,407,818.06
  5. Step 5: Solve for x
    x = 111,019,407,818.06/152,988.75
  6. Step 6: Final answer
    x = 725,670.40

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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.