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Finding the Third Proportional to 157,414 and 245,534

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Solution

The third proportional to 157,414 and 245,534 is: 382,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,414 : 245,534 = 245,534 : x
  2. Step 2: Convert to fraction form
    157,414/245,534 = 245,534/x
  3. Step 3: Cross multiply
    157,414x = 245,534 × 245,534
  4. Step 4: Simplify right side
    157,414x = 60,286,945,156
  5. Step 5: Solve for x
    x = 60,286,945,156/157,414
  6. Step 6: Final answer
    x = 382,983.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.