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Finding the Third Proportional to 187,376 and 288,848

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Solution

The third proportional to 187,376 and 288,848 is: 445,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,376 : 288,848 = 288,848 : x
  2. Step 2: Convert to fraction form
    187,376/288,848 = 288,848/x
  3. Step 3: Cross multiply
    187,376x = 288,848 × 288,848
  4. Step 4: Simplify right side
    187,376x = 83,433,167,104
  5. Step 5: Solve for x
    x = 83,433,167,104/187,376
  6. Step 6: Final answer
    x = 445,271.36

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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.