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Finding the Third Proportional to 194,457 and 291,688.88

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Solution

The third proportional to 194,457 and 291,688.88 is: 437,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,457 : 291,688.88 = 291,688.88 : x
  2. Step 2: Convert to fraction form
    194,457/291,688.88 = 291,688.88/x
  3. Step 3: Cross multiply
    194,457x = 291,688.88 × 291,688.88
  4. Step 4: Simplify right side
    194,457x = 85,082,399,798.77
  5. Step 5: Solve for x
    x = 85,082,399,798.77/194,457
  6. Step 6: Final answer
    x = 437,538.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.