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Finding the Third Proportional to 157,023 and 224,278

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Solution

The third proportional to 157,023 and 224,278 is: 320,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,023 : 224,278 = 224,278 : x
  2. Step 2: Convert to fraction form
    157,023/224,278 = 224,278/x
  3. Step 3: Cross multiply
    157,023x = 224,278 × 224,278
  4. Step 4: Simplify right side
    157,023x = 50,300,621,284
  5. Step 5: Solve for x
    x = 50,300,621,284/157,023
  6. Step 6: Final answer
    x = 320,339.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.