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Finding the Third Proportional to 240,445.75 and 375,225.75

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Solution

The third proportional to 240,445.75 and 375,225.75 is: 585,555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,445.75 : 375,225.75 = 375,225.75 : x
  2. Step 2: Convert to fraction form
    240,445.75/375,225.75 = 375,225.75/x
  3. Step 3: Cross multiply
    240,445.75x = 375,225.75 × 375,225.75
  4. Step 4: Simplify right side
    240,445.75x = 140,794,363,463.06
  5. Step 5: Solve for x
    x = 140,794,363,463.06/240,445.75
  6. Step 6: Final answer
    x = 585,555.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.