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Finding the Third Proportional to 142,460 and 220,575

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Solution

The third proportional to 142,460 and 220,575 is: 341,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,460 : 220,575 = 220,575 : x
  2. Step 2: Convert to fraction form
    142,460/220,575 = 220,575/x
  3. Step 3: Cross multiply
    142,460x = 220,575 × 220,575
  4. Step 4: Simplify right side
    142,460x = 48,653,330,625
  5. Step 5: Solve for x
    x = 48,653,330,625/142,460
  6. Step 6: Final answer
    x = 341,522.75

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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.