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Finding the Third Proportional to 242,768 and 367,526

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Solution

The third proportional to 242,768 and 367,526 is: 556,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,768 : 367,526 = 367,526 : x
  2. Step 2: Convert to fraction form
    242,768/367,526 = 367,526/x
  3. Step 3: Cross multiply
    242,768x = 367,526 × 367,526
  4. Step 4: Simplify right side
    242,768x = 135,075,360,676
  5. Step 5: Solve for x
    x = 135,075,360,676/242,768
  6. Step 6: Final answer
    x = 556,396.89

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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.