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Finding the Third Proportional to 188,287.03 and 282,430.55

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Solution

The third proportional to 188,287.03 and 282,430.55 is: 423,645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,287.03 : 282,430.55 = 282,430.55 : x
  2. Step 2: Convert to fraction form
    188,287.03/282,430.55 = 282,430.55/x
  3. Step 3: Cross multiply
    188,287.03x = 282,430.55 × 282,430.55
  4. Step 4: Simplify right side
    188,287.03x = 79,767,013,808.11
  5. Step 5: Solve for x
    x = 79,767,013,808.11/188,287.03
  6. Step 6: Final answer
    x = 423,645.82

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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.