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Finding the Third Proportional to 205,070.63 and 321,046.88

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Solution

The third proportional to 205,070.63 and 321,046.88 is: 502,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,070.63 : 321,046.88 = 321,046.88 : x
  2. Step 2: Convert to fraction form
    205,070.63/321,046.88 = 321,046.88/x
  3. Step 3: Cross multiply
    205,070.63x = 321,046.88 × 321,046.88
  4. Step 4: Simplify right side
    205,070.63x = 103,071,095,947.27
  5. Step 5: Solve for x
    x = 103,071,095,947.27/205,070.63
  6. Step 6: Final answer
    x = 502,612.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.