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Finding the Third Proportional to 183,457.41 and 291,861.98

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Solution

The third proportional to 183,457.41 and 291,861.98 is: 464,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,457.41 : 291,861.98 = 291,861.98 : x
  2. Step 2: Convert to fraction form
    183,457.41/291,861.98 = 291,861.98/x
  3. Step 3: Cross multiply
    183,457.41x = 291,861.98 × 291,861.98
  4. Step 4: Simplify right side
    183,457.41x = 85,183,417,923.31
  5. Step 5: Solve for x
    x = 85,183,417,923.31/183,457.41
  6. Step 6: Final answer
    x = 464,322.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.