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Finding the Third Proportional to 157,077 and 224,362

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Solution

The third proportional to 157,077 and 224,362 is: 320,468.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,077 : 224,362 = 224,362 : x
  2. Step 2: Convert to fraction form
    157,077/224,362 = 224,362/x
  3. Step 3: Cross multiply
    157,077x = 224,362 × 224,362
  4. Step 4: Simplify right side
    157,077x = 50,338,307,044
  5. Step 5: Solve for x
    x = 50,338,307,044/157,077
  6. Step 6: Final answer
    x = 320,468.99

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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.