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Finding the Third Proportional to 214,158.94 and 507,353.63

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Solution

The third proportional to 214,158.94 and 507,353.63 is: 1,201,947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,158.94 : 507,353.63 = 507,353.63 : x
  2. Step 2: Convert to fraction form
    214,158.94/507,353.63 = 507,353.63/x
  3. Step 3: Cross multiply
    214,158.94x = 507,353.63 × 507,353.63
  4. Step 4: Simplify right side
    214,158.94x = 257,407,700,800.64
  5. Step 5: Solve for x
    x = 257,407,700,800.64/214,158.94
  6. Step 6: Final answer
    x = 1,201,947.04

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.