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Finding the Third Proportional to 153,366 and 235,408.50

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Solution

The third proportional to 153,366 and 235,408.50 is: 361,339.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,366 : 235,408.50 = 235,408.50 : x
  2. Step 2: Convert to fraction form
    153,366/235,408.50 = 235,408.50/x
  3. Step 3: Cross multiply
    153,366x = 235,408.50 × 235,408.50
  4. Step 4: Simplify right side
    153,366x = 55,417,161,872.25
  5. Step 5: Solve for x
    x = 55,417,161,872.25/153,366
  6. Step 6: Final answer
    x = 361,339.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.