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Finding the Third Proportional to 186,170.63 and 287,680.50

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Solution

The third proportional to 186,170.63 and 287,680.50 is: 444,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,170.63 : 287,680.50 = 287,680.50 : x
  2. Step 2: Convert to fraction form
    186,170.63/287,680.50 = 287,680.50/x
  3. Step 3: Cross multiply
    186,170.63x = 287,680.50 × 287,680.50
  4. Step 4: Simplify right side
    186,170.63x = 82,760,070,080.25
  5. Step 5: Solve for x
    x = 82,760,070,080.25/186,170.63
  6. Step 6: Final answer
    x = 444,538.82

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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.