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Finding the Third Proportional to 157,027 and 224,284

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Solution

The third proportional to 157,027 and 224,284 is: 320,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,027 : 224,284 = 224,284 : x
  2. Step 2: Convert to fraction form
    157,027/224,284 = 224,284/x
  3. Step 3: Cross multiply
    157,027x = 224,284 × 224,284
  4. Step 4: Simplify right side
    157,027x = 50,303,312,656
  5. Step 5: Solve for x
    x = 50,303,312,656/157,027
  6. Step 6: Final answer
    x = 320,348.17

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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.