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Finding the Third Proportional to 183,407.50 and 386,723

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Solution

The third proportional to 183,407.50 and 386,723 is: 815,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,407.50 : 386,723 = 386,723 : x
  2. Step 2: Convert to fraction form
    183,407.50/386,723 = 386,723/x
  3. Step 3: Cross multiply
    183,407.50x = 386,723 × 386,723
  4. Step 4: Simplify right side
    183,407.50x = 149,554,678,729
  5. Step 5: Solve for x
    x = 149,554,678,729/183,407.50
  6. Step 6: Final answer
    x = 815,422.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.