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Finding the Third Proportional to 157,636 and 236,492

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Solution

The third proportional to 157,636 and 236,492 is: 354,795.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,636 : 236,492 = 236,492 : x
  2. Step 2: Convert to fraction form
    157,636/236,492 = 236,492/x
  3. Step 3: Cross multiply
    157,636x = 236,492 × 236,492
  4. Step 4: Simplify right side
    157,636x = 55,928,466,064
  5. Step 5: Solve for x
    x = 55,928,466,064/157,636
  6. Step 6: Final answer
    x = 354,795.01

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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.