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Finding the Third Proportional to 157,410 and 337,257

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Solution

The third proportional to 157,410 and 337,257 is: 722,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,410 : 337,257 = 337,257 : x
  2. Step 2: Convert to fraction form
    157,410/337,257 = 337,257/x
  3. Step 3: Cross multiply
    157,410x = 337,257 × 337,257
  4. Step 4: Simplify right side
    157,410x = 113,742,284,049
  5. Step 5: Solve for x
    x = 113,742,284,049/157,410
  6. Step 6: Final answer
    x = 722,586.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.