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Finding the Third Proportional to 152,604 and 232,456.50

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Solution

The third proportional to 152,604 and 232,456.50 is: 354,093.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,604 : 232,456.50 = 232,456.50 : x
  2. Step 2: Convert to fraction form
    152,604/232,456.50 = 232,456.50/x
  3. Step 3: Cross multiply
    152,604x = 232,456.50 × 232,456.50
  4. Step 4: Simplify right side
    152,604x = 54,036,024,392.25
  5. Step 5: Solve for x
    x = 54,036,024,392.25/152,604
  6. Step 6: Final answer
    x = 354,093.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.