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Finding the Third Proportional to 243,722.25 and 376,646.63

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Solution

The third proportional to 243,722.25 and 376,646.63 is: 582,067.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,722.25 : 376,646.63 = 376,646.63 : x
  2. Step 2: Convert to fraction form
    243,722.25/376,646.63 = 376,646.63/x
  3. Step 3: Cross multiply
    243,722.25x = 376,646.63 × 376,646.63
  4. Step 4: Simplify right side
    243,722.25x = 141,862,680,123.89
  5. Step 5: Solve for x
    x = 141,862,680,123.89/243,722.25
  6. Step 6: Final answer
    x = 582,067.01

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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.