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Finding the Third Proportional to 205,308 and 438,989.06

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Solution

The third proportional to 205,308 and 438,989.06 is: 938,645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,308 : 438,989.06 = 438,989.06 : x
  2. Step 2: Convert to fraction form
    205,308/438,989.06 = 438,989.06/x
  3. Step 3: Cross multiply
    205,308x = 438,989.06 × 438,989.06
  4. Step 4: Simplify right side
    205,308x = 192,711,396,994.63
  5. Step 5: Solve for x
    x = 192,711,396,994.63/205,308
  6. Step 6: Final answer
    x = 938,645.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.