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Finding the Third Proportional to 187,925 and 287,841

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Solution

The third proportional to 187,925 and 287,841 is: 440,880.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,925 : 287,841 = 287,841 : x
  2. Step 2: Convert to fraction form
    187,925/287,841 = 287,841/x
  3. Step 3: Cross multiply
    187,925x = 287,841 × 287,841
  4. Step 4: Simplify right side
    187,925x = 82,852,441,281
  5. Step 5: Solve for x
    x = 82,852,441,281/187,925
  6. Step 6: Final answer
    x = 440,880.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.