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Finding the Third Proportional to 215,965.93 and 319,699.41

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Solution

The third proportional to 215,965.93 and 319,699.41 is: 473,258.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,965.93 : 319,699.41 = 319,699.41 : x
  2. Step 2: Convert to fraction form
    215,965.93/319,699.41 = 319,699.41/x
  3. Step 3: Cross multiply
    215,965.93x = 319,699.41 × 319,699.41
  4. Step 4: Simplify right side
    215,965.93x = 102,207,710,356.60
  5. Step 5: Solve for x
    x = 102,207,710,356.60/215,965.93
  6. Step 6: Final answer
    x = 473,258.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.