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Finding the Third Proportional to 180,711 and 241,501.50

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Solution

The third proportional to 180,711 and 241,501.50 is: 322,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,711 : 241,501.50 = 241,501.50 : x
  2. Step 2: Convert to fraction form
    180,711/241,501.50 = 241,501.50/x
  3. Step 3: Cross multiply
    180,711x = 241,501.50 × 241,501.50
  4. Step 4: Simplify right side
    180,711x = 58,322,974,502.25
  5. Step 5: Solve for x
    x = 58,322,974,502.25/180,711
  6. Step 6: Final answer
    x = 322,741.70

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.