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Finding the Third Proportional to 223,114.50 and 458,106

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Solution

The third proportional to 223,114.50 and 458,106 is: 940,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,114.50 : 458,106 = 458,106 : x
  2. Step 2: Convert to fraction form
    223,114.50/458,106 = 458,106/x
  3. Step 3: Cross multiply
    223,114.50x = 458,106 × 458,106
  4. Step 4: Simplify right side
    223,114.50x = 209,861,107,236
  5. Step 5: Solve for x
    x = 209,861,107,236/223,114.50
  6. Step 6: Final answer
    x = 940,598.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.