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Finding the Third Proportional to 157,765 and 236,414

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Solution

The third proportional to 157,765 and 236,414 is: 354,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,765 : 236,414 = 236,414 : x
  2. Step 2: Convert to fraction form
    157,765/236,414 = 236,414/x
  3. Step 3: Cross multiply
    157,765x = 236,414 × 236,414
  4. Step 4: Simplify right side
    157,765x = 55,891,579,396
  5. Step 5: Solve for x
    x = 55,891,579,396/157,765
  6. Step 6: Final answer
    x = 354,271.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.