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Finding the Third Proportional to 157,079 and 224,365

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Solution

The third proportional to 157,079 and 224,365 is: 320,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,079 : 224,365 = 224,365 : x
  2. Step 2: Convert to fraction form
    157,079/224,365 = 224,365/x
  3. Step 3: Cross multiply
    157,079x = 224,365 × 224,365
  4. Step 4: Simplify right side
    157,079x = 50,339,653,225
  5. Step 5: Solve for x
    x = 50,339,653,225/157,079
  6. Step 6: Final answer
    x = 320,473.48

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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.