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Finding the Third Proportional to 157,936 and 238,784

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Solution

The third proportional to 157,936 and 238,784 is: 361,018.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,936 : 238,784 = 238,784 : x
  2. Step 2: Convert to fraction form
    157,936/238,784 = 238,784/x
  3. Step 3: Cross multiply
    157,936x = 238,784 × 238,784
  4. Step 4: Simplify right side
    157,936x = 57,017,798,656
  5. Step 5: Solve for x
    x = 57,017,798,656/157,936
  6. Step 6: Final answer
    x = 361,018.38

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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.