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Finding the Third Proportional to 132,298.88 and 285,818.63

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Solution

The third proportional to 132,298.88 and 285,818.63 is: 617,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,298.88 : 285,818.63 = 285,818.63 : x
  2. Step 2: Convert to fraction form
    132,298.88/285,818.63 = 285,818.63/x
  3. Step 3: Cross multiply
    132,298.88x = 285,818.63 × 285,818.63
  4. Step 4: Simplify right side
    132,298.88x = 81,692,286,396.89
  5. Step 5: Solve for x
    x = 81,692,286,396.89/132,298.88
  6. Step 6: Final answer
    x = 617,482.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.