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Finding the Third Proportional to 157,884 and 301,216

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Solution

The third proportional to 157,884 and 301,216 is: 574,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,884 : 301,216 = 301,216 : x
  2. Step 2: Convert to fraction form
    157,884/301,216 = 301,216/x
  3. Step 3: Cross multiply
    157,884x = 301,216 × 301,216
  4. Step 4: Simplify right side
    157,884x = 90,731,078,656
  5. Step 5: Solve for x
    x = 90,731,078,656/157,884
  6. Step 6: Final answer
    x = 574,669.24

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.