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Finding the Third Proportional to 141,772.50 and 306,816.75

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Solution

The third proportional to 141,772.50 and 306,816.75 is: 663,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,772.50 : 306,816.75 = 306,816.75 : x
  2. Step 2: Convert to fraction form
    141,772.50/306,816.75 = 306,816.75/x
  3. Step 3: Cross multiply
    141,772.50x = 306,816.75 × 306,816.75
  4. Step 4: Simplify right side
    141,772.50x = 94,136,518,080.56
  5. Step 5: Solve for x
    x = 94,136,518,080.56/141,772.50
  6. Step 6: Final answer
    x = 663,997.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.