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Finding the Third Proportional to 186,685.50 and 283,490.25

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Solution

The third proportional to 186,685.50 and 283,490.25 is: 430,492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,685.50 : 283,490.25 = 283,490.25 : x
  2. Step 2: Convert to fraction form
    186,685.50/283,490.25 = 283,490.25/x
  3. Step 3: Cross multiply
    186,685.50x = 283,490.25 × 283,490.25
  4. Step 4: Simplify right side
    186,685.50x = 80,366,721,845.06
  5. Step 5: Solve for x
    x = 80,366,721,845.06/186,685.50
  6. Step 6: Final answer
    x = 430,492.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.