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Finding the Third Proportional to 165,294 and 358,056

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Solution

The third proportional to 165,294 and 358,056 is: 775,612.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,294 : 358,056 = 358,056 : x
  2. Step 2: Convert to fraction form
    165,294/358,056 = 358,056/x
  3. Step 3: Cross multiply
    165,294x = 358,056 × 358,056
  4. Step 4: Simplify right side
    165,294x = 128,204,099,136
  5. Step 5: Solve for x
    x = 128,204,099,136/165,294
  6. Step 6: Final answer
    x = 775,612.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.