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Finding the Third Proportional to 242,340.50 and 517,668

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Solution

The third proportional to 242,340.50 and 517,668 is: 1,105,800.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,340.50 : 517,668 = 517,668 : x
  2. Step 2: Convert to fraction form
    242,340.50/517,668 = 517,668/x
  3. Step 3: Cross multiply
    242,340.50x = 517,668 × 517,668
  4. Step 4: Simplify right side
    242,340.50x = 267,980,158,224
  5. Step 5: Solve for x
    x = 267,980,158,224/242,340.50
  6. Step 6: Final answer
    x = 1,105,800.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.