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Finding the Third Proportional to 117,548.72 and 257,633.16

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Solution

The third proportional to 117,548.72 and 257,633.16 is: 564,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,548.72 : 257,633.16 = 257,633.16 : x
  2. Step 2: Convert to fraction form
    117,548.72/257,633.16 = 257,633.16/x
  3. Step 3: Cross multiply
    117,548.72x = 257,633.16 × 257,633.16
  4. Step 4: Simplify right side
    117,548.72x = 66,374,843,199.34
  5. Step 5: Solve for x
    x = 66,374,843,199.34/117,548.72
  6. Step 6: Final answer
    x = 564,658.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.