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Finding the Third Proportional to 185,320.50 and 386,724

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Solution

The third proportional to 185,320.50 and 386,724 is: 807,009.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,320.50 : 386,724 = 386,724 : x
  2. Step 2: Convert to fraction form
    185,320.50/386,724 = 386,724/x
  3. Step 3: Cross multiply
    185,320.50x = 386,724 × 386,724
  4. Step 4: Simplify right side
    185,320.50x = 149,555,452,176
  5. Step 5: Solve for x
    x = 149,555,452,176/185,320.50
  6. Step 6: Final answer
    x = 807,009.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.