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Finding the Third Proportional to 157,942 and 301,328

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Solution

The third proportional to 157,942 and 301,328 is: 574,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,942 : 301,328 = 301,328 : x
  2. Step 2: Convert to fraction form
    157,942/301,328 = 301,328/x
  3. Step 3: Cross multiply
    157,942x = 301,328 × 301,328
  4. Step 4: Simplify right side
    157,942x = 90,798,563,584
  5. Step 5: Solve for x
    x = 90,798,563,584/157,942
  6. Step 6: Final answer
    x = 574,885.49

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.