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Finding the Third Proportional to 157,023.56 and 224,278.88

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Solution

The third proportional to 157,023.56 and 224,278.88 is: 320,340.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,023.56 : 224,278.88 = 224,278.88 : x
  2. Step 2: Convert to fraction form
    157,023.56/224,278.88 = 224,278.88/x
  3. Step 3: Cross multiply
    157,023.56x = 224,278.88 × 224,278.88
  4. Step 4: Simplify right side
    157,023.56x = 50,301,013,771.27
  5. Step 5: Solve for x
    x = 50,301,013,771.27/157,023.56
  6. Step 6: Final answer
    x = 320,340.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.