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Finding the Third Proportional to 158,822 and 349,130

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Solution

The third proportional to 158,822 and 349,130 is: 767,474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,822 : 349,130 = 349,130 : x
  2. Step 2: Convert to fraction form
    158,822/349,130 = 349,130/x
  3. Step 3: Cross multiply
    158,822x = 349,130 × 349,130
  4. Step 4: Simplify right side
    158,822x = 121,891,756,900
  5. Step 5: Solve for x
    x = 121,891,756,900/158,822
  6. Step 6: Final answer
    x = 767,474.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.