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Finding the Third Proportional to 183,520 and 282,169.50

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Solution

The third proportional to 183,520 and 282,169.50 is: 433,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,520 : 282,169.50 = 282,169.50 : x
  2. Step 2: Convert to fraction form
    183,520/282,169.50 = 282,169.50/x
  3. Step 3: Cross multiply
    183,520x = 282,169.50 × 282,169.50
  4. Step 4: Simplify right side
    183,520x = 79,619,626,730.25
  5. Step 5: Solve for x
    x = 79,619,626,730.25/183,520
  6. Step 6: Final answer
    x = 433,847.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.