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Finding the Third Proportional to 235,575 and 375,215

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Solution

The third proportional to 235,575 and 375,215 is: 597,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,575 : 375,215 = 375,215 : x
  2. Step 2: Convert to fraction form
    235,575/375,215 = 375,215/x
  3. Step 3: Cross multiply
    235,575x = 375,215 × 375,215
  4. Step 4: Simplify right side
    235,575x = 140,786,296,225
  5. Step 5: Solve for x
    x = 140,786,296,225/235,575
  6. Step 6: Final answer
    x = 597,628.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.