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Finding the Third Proportional to 186,655.50 and 289,494

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Solution

The third proportional to 186,655.50 and 289,494 is: 448,991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,655.50 : 289,494 = 289,494 : x
  2. Step 2: Convert to fraction form
    186,655.50/289,494 = 289,494/x
  3. Step 3: Cross multiply
    186,655.50x = 289,494 × 289,494
  4. Step 4: Simplify right side
    186,655.50x = 83,806,776,036
  5. Step 5: Solve for x
    x = 83,806,776,036/186,655.50
  6. Step 6: Final answer
    x = 448,991.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.