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Finding the Third Proportional to 142,425 and 220,522.50

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Solution

The third proportional to 142,425 and 220,522.50 is: 341,444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,425 : 220,522.50 = 220,522.50 : x
  2. Step 2: Convert to fraction form
    142,425/220,522.50 = 220,522.50/x
  3. Step 3: Cross multiply
    142,425x = 220,522.50 × 220,522.50
  4. Step 4: Simplify right side
    142,425x = 48,630,173,006.25
  5. Step 5: Solve for x
    x = 48,630,173,006.25/142,425
  6. Step 6: Final answer
    x = 341,444.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.