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Finding the Third Proportional to 157,924 and 208,662

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Solution

The third proportional to 157,924 and 208,662 is: 275,701.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,924 : 208,662 = 208,662 : x
  2. Step 2: Convert to fraction form
    157,924/208,662 = 208,662/x
  3. Step 3: Cross multiply
    157,924x = 208,662 × 208,662
  4. Step 4: Simplify right side
    157,924x = 43,539,830,244
  5. Step 5: Solve for x
    x = 43,539,830,244/157,924
  6. Step 6: Final answer
    x = 275,701.16

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.