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Finding the Third Proportional to 145,154 and 321,412

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Solution

The third proportional to 145,154 and 321,412 is: 711,697.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,154 : 321,412 = 321,412 : x
  2. Step 2: Convert to fraction form
    145,154/321,412 = 321,412/x
  3. Step 3: Cross multiply
    145,154x = 321,412 × 321,412
  4. Step 4: Simplify right side
    145,154x = 103,305,673,744
  5. Step 5: Solve for x
    x = 103,305,673,744/145,154
  6. Step 6: Final answer
    x = 711,697.05

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.