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Finding the Third Proportional to 152,605.50 and 233,444.25

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Solution

The third proportional to 152,605.50 and 233,444.25 is: 357,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,605.50 : 233,444.25 = 233,444.25 : x
  2. Step 2: Convert to fraction form
    152,605.50/233,444.25 = 233,444.25/x
  3. Step 3: Cross multiply
    152,605.50x = 233,444.25 × 233,444.25
  4. Step 4: Simplify right side
    152,605.50x = 54,496,217,858.06
  5. Step 5: Solve for x
    x = 54,496,217,858.06/152,605.50
  6. Step 6: Final answer
    x = 357,105.20

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