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Finding the Third Proportional to 164,327 and 353,562

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Solution

The third proportional to 164,327 and 353,562 is: 760,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,327 : 353,562 = 353,562 : x
  2. Step 2: Convert to fraction form
    164,327/353,562 = 353,562/x
  3. Step 3: Cross multiply
    164,327x = 353,562 × 353,562
  4. Step 4: Simplify right side
    164,327x = 125,006,087,844
  5. Step 5: Solve for x
    x = 125,006,087,844/164,327
  6. Step 6: Final answer
    x = 760,715.45

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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.