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Finding the Third Proportional to 157,395 and 237,411

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Solution

The third proportional to 157,395 and 237,411 is: 358,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,395 : 237,411 = 237,411 : x
  2. Step 2: Convert to fraction form
    157,395/237,411 = 237,411/x
  3. Step 3: Cross multiply
    157,395x = 237,411 × 237,411
  4. Step 4: Simplify right side
    157,395x = 56,363,982,921
  5. Step 5: Solve for x
    x = 56,363,982,921/157,395
  6. Step 6: Final answer
    x = 358,105.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.