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Finding the Third Proportional to 186,735 and 284,422.50

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Solution

The third proportional to 186,735 and 284,422.50 is: 433,213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,735 : 284,422.50 = 284,422.50 : x
  2. Step 2: Convert to fraction form
    186,735/284,422.50 = 284,422.50/x
  3. Step 3: Cross multiply
    186,735x = 284,422.50 × 284,422.50
  4. Step 4: Simplify right side
    186,735x = 80,896,158,506.25
  5. Step 5: Solve for x
    x = 80,896,158,506.25/186,735
  6. Step 6: Final answer
    x = 433,213.69

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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.