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Finding the Third Proportional to 136,444.50 and 287,026.88

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Solution

The third proportional to 136,444.50 and 287,026.88 is: 603,794.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,444.50 : 287,026.88 = 287,026.88 : x
  2. Step 2: Convert to fraction form
    136,444.50/287,026.88 = 287,026.88/x
  3. Step 3: Cross multiply
    136,444.50x = 287,026.88 × 287,026.88
  4. Step 4: Simplify right side
    136,444.50x = 82,384,426,972.27
  5. Step 5: Solve for x
    x = 82,384,426,972.27/136,444.50
  6. Step 6: Final answer
    x = 603,794.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.