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Finding the Third Proportional to 243,303.75 and 325,452.94

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Solution

The third proportional to 243,303.75 and 325,452.94 is: 435,339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,303.75 : 325,452.94 = 325,452.94 : x
  2. Step 2: Convert to fraction form
    243,303.75/325,452.94 = 325,452.94/x
  3. Step 3: Cross multiply
    243,303.75x = 325,452.94 × 325,452.94
  4. Step 4: Simplify right side
    243,303.75x = 105,919,614,527.38
  5. Step 5: Solve for x
    x = 105,919,614,527.38/243,303.75
  6. Step 6: Final answer
    x = 435,339.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.