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Finding the Third Proportional to 240,432.75 and 346,506.75

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Solution

The third proportional to 240,432.75 and 346,506.75 is: 499,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,432.75 : 346,506.75 = 346,506.75 : x
  2. Step 2: Convert to fraction form
    240,432.75/346,506.75 = 346,506.75/x
  3. Step 3: Cross multiply
    240,432.75x = 346,506.75 × 346,506.75
  4. Step 4: Simplify right side
    240,432.75x = 120,066,927,795.56
  5. Step 5: Solve for x
    x = 120,066,927,795.56/240,432.75
  6. Step 6: Final answer
    x = 499,378.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.