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Finding the Third Proportional to 243,060.75 and 367,949.46

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Solution

The third proportional to 243,060.75 and 367,949.46 is: 557,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,060.75 : 367,949.46 = 367,949.46 : x
  2. Step 2: Convert to fraction form
    243,060.75/367,949.46 = 367,949.46/x
  3. Step 3: Cross multiply
    243,060.75x = 367,949.46 × 367,949.46
  4. Step 4: Simplify right side
    243,060.75x = 135,386,805,804.20
  5. Step 5: Solve for x
    x = 135,386,805,804.20/243,060.75
  6. Step 6: Final answer
    x = 557,008.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.