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Finding the Third Proportional to 164,511 and 357,210

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Solution

The third proportional to 164,511 and 357,210 is: 775,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,511 : 357,210 = 357,210 : x
  2. Step 2: Convert to fraction form
    164,511/357,210 = 357,210/x
  3. Step 3: Cross multiply
    164,511x = 357,210 × 357,210
  4. Step 4: Simplify right side
    164,511x = 127,598,984,100
  5. Step 5: Solve for x
    x = 127,598,984,100/164,511
  6. Step 6: Final answer
    x = 775,625.85

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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.