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Finding the Third Proportional to 141,526.50 and 214,114.50

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Solution

The third proportional to 141,526.50 and 214,114.50 is: 323,932.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,526.50 : 214,114.50 = 214,114.50 : x
  2. Step 2: Convert to fraction form
    141,526.50/214,114.50 = 214,114.50/x
  3. Step 3: Cross multiply
    141,526.50x = 214,114.50 × 214,114.50
  4. Step 4: Simplify right side
    141,526.50x = 45,845,019,110.25
  5. Step 5: Solve for x
    x = 45,845,019,110.25/141,526.50
  6. Step 6: Final answer
    x = 323,932.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.