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Finding the Third Proportional to 194,126.63 and 304,585.31

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Solution

The third proportional to 194,126.63 and 304,585.31 is: 477,895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,126.63 : 304,585.31 = 304,585.31 : x
  2. Step 2: Convert to fraction form
    194,126.63/304,585.31 = 304,585.31/x
  3. Step 3: Cross multiply
    194,126.63x = 304,585.31 × 304,585.31
  4. Step 4: Simplify right side
    194,126.63x = 92,772,212,590.72
  5. Step 5: Solve for x
    x = 92,772,212,590.72/194,126.63
  6. Step 6: Final answer
    x = 477,895.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.