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Finding the Third Proportional to 141,358.50 and 212,341.50

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Solution

The third proportional to 141,358.50 and 212,341.50 is: 318,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,358.50 : 212,341.50 = 212,341.50 : x
  2. Step 2: Convert to fraction form
    141,358.50/212,341.50 = 212,341.50/x
  3. Step 3: Cross multiply
    141,358.50x = 212,341.50 × 212,341.50
  4. Step 4: Simplify right side
    141,358.50x = 45,088,912,622.25
  5. Step 5: Solve for x
    x = 45,088,912,622.25/141,358.50
  6. Step 6: Final answer
    x = 318,968.53

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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.