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Finding the Third Proportional to 191,956.50 and 301,095

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Solution

The third proportional to 191,956.50 and 301,095 is: 472,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,956.50 : 301,095 = 301,095 : x
  2. Step 2: Convert to fraction form
    191,956.50/301,095 = 301,095/x
  3. Step 3: Cross multiply
    191,956.50x = 301,095 × 301,095
  4. Step 4: Simplify right side
    191,956.50x = 90,658,199,025
  5. Step 5: Solve for x
    x = 90,658,199,025/191,956.50
  6. Step 6: Final answer
    x = 472,285.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.