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Finding the Third Proportional to 139,746.38 and 197,550

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Solution

The third proportional to 139,746.38 and 197,550 is: 279,263.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,746.38 : 197,550 = 197,550 : x
  2. Step 2: Convert to fraction form
    139,746.38/197,550 = 197,550/x
  3. Step 3: Cross multiply
    139,746.38x = 197,550 × 197,550
  4. Step 4: Simplify right side
    139,746.38x = 39,026,002,500
  5. Step 5: Solve for x
    x = 39,026,002,500/139,746.38
  6. Step 6: Final answer
    x = 279,263.08

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.