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Finding the Third Proportional to 147,042 and 220,590

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Solution

The third proportional to 147,042 and 220,590 is: 330,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,042 : 220,590 = 220,590 : x
  2. Step 2: Convert to fraction form
    147,042/220,590 = 220,590/x
  3. Step 3: Cross multiply
    147,042x = 220,590 × 220,590
  4. Step 4: Simplify right side
    147,042x = 48,659,948,100
  5. Step 5: Solve for x
    x = 48,659,948,100/147,042
  6. Step 6: Final answer
    x = 330,925.50

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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.