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Finding the Third Proportional to 117,346 and 168,157

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Solution

The third proportional to 117,346 and 168,157 is: 240,969.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,346 : 168,157 = 168,157 : x
  2. Step 2: Convert to fraction form
    117,346/168,157 = 168,157/x
  3. Step 3: Cross multiply
    117,346x = 168,157 × 168,157
  4. Step 4: Simplify right side
    117,346x = 28,276,776,649
  5. Step 5: Solve for x
    x = 28,276,776,649/117,346
  6. Step 6: Final answer
    x = 240,969.24

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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.