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Finding the Third Proportional to 137,598.38 and 209,956.50

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Solution

The third proportional to 137,598.38 and 209,956.50 is: 320,365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,598.38 : 209,956.50 = 209,956.50 : x
  2. Step 2: Convert to fraction form
    137,598.38/209,956.50 = 209,956.50/x
  3. Step 3: Cross multiply
    137,598.38x = 209,956.50 × 209,956.50
  4. Step 4: Simplify right side
    137,598.38x = 44,081,731,892.25
  5. Step 5: Solve for x
    x = 44,081,731,892.25/137,598.38
  6. Step 6: Final answer
    x = 320,365.21

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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.