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Finding the Third Proportional to 152,299 and 351,011.50

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Solution

The third proportional to 152,299 and 351,011.50 is: 808,994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,299 : 351,011.50 = 351,011.50 : x
  2. Step 2: Convert to fraction form
    152,299/351,011.50 = 351,011.50/x
  3. Step 3: Cross multiply
    152,299x = 351,011.50 × 351,011.50
  4. Step 4: Simplify right side
    152,299x = 123,209,073,132.25
  5. Step 5: Solve for x
    x = 123,209,073,132.25/152,299
  6. Step 6: Final answer
    x = 808,994.63

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.