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Finding the Third Proportional to 243,075.94 and 367,967.81

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Solution

The third proportional to 243,075.94 and 367,967.81 is: 557,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,075.94 : 367,967.81 = 367,967.81 : x
  2. Step 2: Convert to fraction form
    243,075.94/367,967.81 = 367,967.81/x
  3. Step 3: Cross multiply
    243,075.94x = 367,967.81 × 367,967.81
  4. Step 4: Simplify right side
    243,075.94x = 135,400,311,036.04
  5. Step 5: Solve for x
    x = 135,400,311,036.04/243,075.94
  6. Step 6: Final answer
    x = 557,028.85

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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.