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Finding the Third Proportional to 134,607.72 and 208,402.31

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Solution

The third proportional to 134,607.72 and 208,402.31 is: 322,652.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,607.72 : 208,402.31 = 208,402.31 : x
  2. Step 2: Convert to fraction form
    134,607.72/208,402.31 = 208,402.31/x
  3. Step 3: Cross multiply
    134,607.72x = 208,402.31 × 208,402.31
  4. Step 4: Simplify right side
    134,607.72x = 43,431,523,855.35
  5. Step 5: Solve for x
    x = 43,431,523,855.35/134,607.72
  6. Step 6: Final answer
    x = 322,652.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.