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Finding the Third Proportional to 187,087.50 and 385,204.50

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Solution

The third proportional to 187,087.50 and 385,204.50 is: 793,118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,087.50 : 385,204.50 = 385,204.50 : x
  2. Step 2: Convert to fraction form
    187,087.50/385,204.50 = 385,204.50/x
  3. Step 3: Cross multiply
    187,087.50x = 385,204.50 × 385,204.50
  4. Step 4: Simplify right side
    187,087.50x = 148,382,506,820.25
  5. Step 5: Solve for x
    x = 148,382,506,820.25/187,087.50
  6. Step 6: Final answer
    x = 793,118.23

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.