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Finding the Third Proportional to 157,591 and 236,547

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Solution

The third proportional to 157,591 and 236,547 is: 355,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,591 : 236,547 = 236,547 : x
  2. Step 2: Convert to fraction form
    157,591/236,547 = 236,547/x
  3. Step 3: Cross multiply
    157,591x = 236,547 × 236,547
  4. Step 4: Simplify right side
    157,591x = 55,954,483,209
  5. Step 5: Solve for x
    x = 55,954,483,209/157,591
  6. Step 6: Final answer
    x = 355,061.41

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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.