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Finding the Third Proportional to 185,254.59 and 385,043.63

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Solution

The third proportional to 185,254.59 and 385,043.63 is: 800,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,254.59 : 385,043.63 = 385,043.63 : x
  2. Step 2: Convert to fraction form
    185,254.59/385,043.63 = 385,043.63/x
  3. Step 3: Cross multiply
    185,254.59x = 385,043.63 × 385,043.63
  4. Step 4: Simplify right side
    185,254.59x = 148,258,593,153.14
  5. Step 5: Solve for x
    x = 148,258,593,153.14/185,254.59
  6. Step 6: Final answer
    x = 800,296.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.