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Finding the Third Proportional to 194,772.94 and 304,461.28

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Solution

The third proportional to 194,772.94 and 304,461.28 is: 475,921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,772.94 : 304,461.28 = 304,461.28 : x
  2. Step 2: Convert to fraction form
    194,772.94/304,461.28 = 304,461.28/x
  3. Step 3: Cross multiply
    194,772.94x = 304,461.28 × 304,461.28
  4. Step 4: Simplify right side
    194,772.94x = 92,696,671,780.39
  5. Step 5: Solve for x
    x = 92,696,671,780.39/194,772.94
  6. Step 6: Final answer
    x = 475,921.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.