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Finding the Third Proportional to 141,292 and 198,020.50

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Solution

The third proportional to 141,292 and 198,020.50 is: 277,525.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,292 : 198,020.50 = 198,020.50 : x
  2. Step 2: Convert to fraction form
    141,292/198,020.50 = 198,020.50/x
  3. Step 3: Cross multiply
    141,292x = 198,020.50 × 198,020.50
  4. Step 4: Simplify right side
    141,292x = 39,212,118,420.25
  5. Step 5: Solve for x
    x = 39,212,118,420.25/141,292
  6. Step 6: Final answer
    x = 277,525.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.