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Finding the Third Proportional to 195,986.25 and 429,320.25

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Solution

The third proportional to 195,986.25 and 429,320.25 is: 940,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,986.25 : 429,320.25 = 429,320.25 : x
  2. Step 2: Convert to fraction form
    195,986.25/429,320.25 = 429,320.25/x
  3. Step 3: Cross multiply
    195,986.25x = 429,320.25 × 429,320.25
  4. Step 4: Simplify right side
    195,986.25x = 184,315,877,060.06
  5. Step 5: Solve for x
    x = 184,315,877,060.06/195,986.25
  6. Step 6: Final answer
    x = 940,453.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.