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Finding the Third Proportional to 188,416.13 and 282,658.36

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Solution

The third proportional to 188,416.13 and 282,658.36 is: 424,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,416.13 : 282,658.36 = 282,658.36 : x
  2. Step 2: Convert to fraction form
    188,416.13/282,658.36 = 282,658.36/x
  3. Step 3: Cross multiply
    188,416.13x = 282,658.36 × 282,658.36
  4. Step 4: Simplify right side
    188,416.13x = 79,895,748,124.57
  5. Step 5: Solve for x
    x = 79,895,748,124.57/188,416.13
  6. Step 6: Final answer
    x = 424,038.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.