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Finding the Third Proportional to 145,364 and 321,816

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Solution

The third proportional to 145,364 and 321,816 is: 712,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,364 : 321,816 = 321,816 : x
  2. Step 2: Convert to fraction form
    145,364/321,816 = 321,816/x
  3. Step 3: Cross multiply
    145,364x = 321,816 × 321,816
  4. Step 4: Simplify right side
    145,364x = 103,565,537,856
  5. Step 5: Solve for x
    x = 103,565,537,856/145,364
  6. Step 6: Final answer
    x = 712,456.58

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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.