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Finding the Third Proportional to 141,292.50 and 212,254.50

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Solution

The third proportional to 141,292.50 and 212,254.50 is: 318,856.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,292.50 : 212,254.50 = 212,254.50 : x
  2. Step 2: Convert to fraction form
    141,292.50/212,254.50 = 212,254.50/x
  3. Step 3: Cross multiply
    141,292.50x = 212,254.50 × 212,254.50
  4. Step 4: Simplify right side
    141,292.50x = 45,051,972,770.25
  5. Step 5: Solve for x
    x = 45,051,972,770.25/141,292.50
  6. Step 6: Final answer
    x = 318,856.08

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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.