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Finding the Third Proportional to 169,102 and 357,056

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Solution

The third proportional to 169,102 and 357,056 is: 753,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,102 : 357,056 = 357,056 : x
  2. Step 2: Convert to fraction form
    169,102/357,056 = 357,056/x
  3. Step 3: Cross multiply
    169,102x = 357,056 × 357,056
  4. Step 4: Simplify right side
    169,102x = 127,488,987,136
  5. Step 5: Solve for x
    x = 127,488,987,136/169,102
  6. Step 6: Final answer
    x = 753,917.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.