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Finding the Third Proportional to 86,290.50 and 185,389

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Solution

The third proportional to 86,290.50 and 185,389 is: 398,295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,290.50 : 185,389 = 185,389 : x
  2. Step 2: Convert to fraction form
    86,290.50/185,389 = 185,389/x
  3. Step 3: Cross multiply
    86,290.50x = 185,389 × 185,389
  4. Step 4: Simplify right side
    86,290.50x = 34,369,081,321
  5. Step 5: Solve for x
    x = 34,369,081,321/86,290.50
  6. Step 6: Final answer
    x = 398,295.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.