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Finding the Third Proportional to 69,332.50 and 152,190

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Solution

The third proportional to 69,332.50 and 152,190 is: 334,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,332.50 : 152,190 = 152,190 : x
  2. Step 2: Convert to fraction form
    69,332.50/152,190 = 152,190/x
  3. Step 3: Cross multiply
    69,332.50x = 152,190 × 152,190
  4. Step 4: Simplify right side
    69,332.50x = 23,161,796,100
  5. Step 5: Solve for x
    x = 23,161,796,100/69,332.50
  6. Step 6: Final answer
    x = 334,068.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.