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Finding the Third Proportional to 169,284 and 364,056

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Solution

The third proportional to 169,284 and 364,056 is: 782,925.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,284 : 364,056 = 364,056 : x
  2. Step 2: Convert to fraction form
    169,284/364,056 = 364,056/x
  3. Step 3: Cross multiply
    169,284x = 364,056 × 364,056
  4. Step 4: Simplify right side
    169,284x = 132,536,771,136
  5. Step 5: Solve for x
    x = 132,536,771,136/169,284
  6. Step 6: Final answer
    x = 782,925.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.