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Finding the Third Proportional to 193,397.63 and 295,654.88

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Solution

The third proportional to 193,397.63 and 295,654.88 is: 451,979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,397.63 : 295,654.88 = 295,654.88 : x
  2. Step 2: Convert to fraction form
    193,397.63/295,654.88 = 295,654.88/x
  3. Step 3: Cross multiply
    193,397.63x = 295,654.88 × 295,654.88
  4. Step 4: Simplify right side
    193,397.63x = 87,411,805,111.27
  5. Step 5: Solve for x
    x = 87,411,805,111.27/193,397.63
  6. Step 6: Final answer
    x = 451,979.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.