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Finding the Third Proportional to 98,542 and 223,391.50

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Solution

The third proportional to 98,542 and 223,391.50 is: 506,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,542 : 223,391.50 = 223,391.50 : x
  2. Step 2: Convert to fraction form
    98,542/223,391.50 = 223,391.50/x
  3. Step 3: Cross multiply
    98,542x = 223,391.50 × 223,391.50
  4. Step 4: Simplify right side
    98,542x = 49,903,762,272.25
  5. Step 5: Solve for x
    x = 49,903,762,272.25/98,542
  6. Step 6: Final answer
    x = 506,421.24

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.