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Finding the Third Proportional to 187,140.88 and 287,652

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Solution

The third proportional to 187,140.88 and 287,652 is: 442,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,140.88 : 287,652 = 287,652 : x
  2. Step 2: Convert to fraction form
    187,140.88/287,652 = 287,652/x
  3. Step 3: Cross multiply
    187,140.88x = 287,652 × 287,652
  4. Step 4: Simplify right side
    187,140.88x = 82,743,673,104
  5. Step 5: Solve for x
    x = 82,743,673,104/187,140.88
  6. Step 6: Final answer
    x = 442,146.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.