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Finding the Third Proportional to 195,981.75 and 429,332.25

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Solution

The third proportional to 195,981.75 and 429,332.25 is: 940,527.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,981.75 : 429,332.25 = 429,332.25 : x
  2. Step 2: Convert to fraction form
    195,981.75/429,332.25 = 429,332.25/x
  3. Step 3: Cross multiply
    195,981.75x = 429,332.25 × 429,332.25
  4. Step 4: Simplify right side
    195,981.75x = 184,326,180,890.06
  5. Step 5: Solve for x
    x = 184,326,180,890.06/195,981.75
  6. Step 6: Final answer
    x = 940,527.27

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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.