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Finding the Third Proportional to 158,526 and 346,455

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Solution

The third proportional to 158,526 and 346,455 is: 757,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,526 : 346,455 = 346,455 : x
  2. Step 2: Convert to fraction form
    158,526/346,455 = 346,455/x
  3. Step 3: Cross multiply
    158,526x = 346,455 × 346,455
  4. Step 4: Simplify right side
    158,526x = 120,031,067,025
  5. Step 5: Solve for x
    x = 120,031,067,025/158,526
  6. Step 6: Final answer
    x = 757,169.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.