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Finding the Third Proportional to 86,853.50 and 190,332

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Solution

The third proportional to 86,853.50 and 190,332 is: 417,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,853.50 : 190,332 = 190,332 : x
  2. Step 2: Convert to fraction form
    86,853.50/190,332 = 190,332/x
  3. Step 3: Cross multiply
    86,853.50x = 190,332 × 190,332
  4. Step 4: Simplify right side
    86,853.50x = 36,226,270,224
  5. Step 5: Solve for x
    x = 36,226,270,224/86,853.50
  6. Step 6: Final answer
    x = 417,096.26

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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.