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Finding the Third Proportional to 152,607 and 233,464.50

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Solution

The third proportional to 152,607 and 233,464.50 is: 357,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,607 : 233,464.50 = 233,464.50 : x
  2. Step 2: Convert to fraction form
    152,607/233,464.50 = 233,464.50/x
  3. Step 3: Cross multiply
    152,607x = 233,464.50 × 233,464.50
  4. Step 4: Simplify right side
    152,607x = 54,505,672,760.25
  5. Step 5: Solve for x
    x = 54,505,672,760.25/152,607
  6. Step 6: Final answer
    x = 357,163.65

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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.