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Finding the Third Proportional to 160,461 and 224,322

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Solution

The third proportional to 160,461 and 224,322 is: 313,598.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,461 : 224,322 = 224,322 : x
  2. Step 2: Convert to fraction form
    160,461/224,322 = 224,322/x
  3. Step 3: Cross multiply
    160,461x = 224,322 × 224,322
  4. Step 4: Simplify right side
    160,461x = 50,320,359,684
  5. Step 5: Solve for x
    x = 50,320,359,684/160,461
  6. Step 6: Final answer
    x = 313,598.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.