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Finding the Third Proportional to 282,136.50 and 432,060.75

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Solution

The third proportional to 282,136.50 and 432,060.75 is: 661,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,136.50 : 432,060.75 = 432,060.75 : x
  2. Step 2: Convert to fraction form
    282,136.50/432,060.75 = 432,060.75/x
  3. Step 3: Cross multiply
    282,136.50x = 432,060.75 × 432,060.75
  4. Step 4: Simplify right side
    282,136.50x = 186,676,491,690.56
  5. Step 5: Solve for x
    x = 186,676,491,690.56/282,136.50
  6. Step 6: Final answer
    x = 661,653.11

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Why These Related Problems?

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