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Finding the Third Proportional to 87,397.50 and 190,364.25

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Solution

The third proportional to 87,397.50 and 190,364.25 is: 414,640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,397.50 : 190,364.25 = 190,364.25 : x
  2. Step 2: Convert to fraction form
    87,397.50/190,364.25 = 190,364.25/x
  3. Step 3: Cross multiply
    87,397.50x = 190,364.25 × 190,364.25
  4. Step 4: Simplify right side
    87,397.50x = 36,238,547,678.06
  5. Step 5: Solve for x
    x = 36,238,547,678.06/87,397.50
  6. Step 6: Final answer
    x = 414,640.55

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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.